Question 1

Write the quotient in standard form.
 $\frac { 11 } { 1 - i }$

Accepted Answer

A)   $\frac { 11 } { 2 + i }$ 
B)   $\frac { 11 } { 2 } i$ 
C)   $\frac { 11 } { 2 - i }$ 
D)   $\frac { 11 } { 2 } + \frac { 11 } { 2 } i$ 
E)  $\frac { 11 } { 2 } - \frac { 11 } { 2 } i$ 
A)   $\frac { 11 } { 2 + i }$ 
B)   $\frac { 11 } { 2 } i$ 
C)   $\frac { 11 } { 2 - i }$ 
D)   $\frac { 11 } { 2 } + \frac { 11 } { 2 } i$ 
E)  $\frac { 11 } { 2 } - \frac { 11 } { 2 } i$

Question 2

If $f ( x ) = - 4 x ^ { 2 } + 6 x - 7$ , use synthetic division to evaluate f (2).

Accepted Answer

A)  $f ( 2 ) = - 11$ 
B)  $f ( 2 ) = 21$ 
C)  $f ( 2 ) = - 35$ 
D)  $f ( 2 ) = - 3$ 
E)  $f ( 2 ) = - 1$ 
A)  $f ( 2 ) = - 11$ 
B)  $f ( 2 ) = 21$ 
C)  $f ( 2 ) = - 35$ 
D)  $f ( 2 ) = - 3$ 
E)  $f ( 2 ) = - 1$

Question 3

Determine whether the value of $x = \frac { 2 } { 7 }$ is a solution of the inequality. $x ^ { 2 } - 2 < 0$

Accepted Answer

A) True 
 B)False

Question 4

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. 
 $f ( x ) = \frac { 1 } { 2 } x ^ { 3 } + 3 x$

Accepted Answer

A) Rises to the left, falls to the right 
B) Rises to the right, rises to the left 
C) Falls to the left, rises to the right 
D) Falls to the right 
E) Falls to the left, falls to the right 
A) Rises to the left, falls to the right 
B) Rises to the right, rises to the left 
C) Falls to the left, rises to the right 
D) Falls to the right 
E) Falls to the left, falls to the right

Question 5

An open box is to be made from a square piece of cardboard, 22 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below).If the volume of the box is represented by $V ( x ) = x ( 22 - 2 x ) ^ { 2 }$ , determine the domain of $$V ( x )$$ .

Accepted Answer

A)  $D = \{ x \mid 0  0 \}$ 
D)  $D = \{ x \mid 44 < x < 88 \}$ 
E)  $D = \{ x \mid 11 < x < 22 \}$ 
A)  $D = \{ x \mid 0  0 \}$ 
D)  $D = \{ x \mid 44 < x < 88 \}$ 
E)  $D = \{ x \mid 11 < x < 22 \}$

Question 6

The number (1 + i) is a root of the equation. ​
X 3 - 10x 2 + 18x - 16 = 0
​
Find the other roots of the equation.
​

Accepted Answer

A) x = 1 - i 
B) x = 1 + i 
C) x = 5 
D) x = 8 
A) x = 1 - i 
B) x = 1 + i 
C) x = 5 
D) x = 8

Question 7

Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
  $f ( x ) = 2 x ^ { 6 } + 8 x ^ { 4 } - 5 x ^ { 2 } + 7 , f ( - 3 )$

Accepted Answer

A) 2,070 
B) 2,065 
C) 2,068 
D) -2,065 
E) 2,069 
A) 2,070 
B) 2,065 
C) 2,068 
D) -2,065 
E) 2,069

Question 8

Select the graph of the function and determine the zeros of the polynomial. 
 $g ( t ) = - \frac { 1 } { 4 } ( t - 2 ) ^ { 2 } ( t + 2 ) ^ { 2 }$

Accepted Answer

A)   $- 2$   
B)   $2$   
C)   $\pm 2$   
D)   $2$   
E)   $- 2$   
A)   $- 2$   
B)   $2$   
C)   $\pm 2$   
D)   $2$   
E)   $- 2$

Question 9

Find the domain of the function and identify any vertical and horizontal asymptotes.   $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

Accepted Answer

A) Domain: all real numbers x
Vertical asymptote: No vertical asymptoteHorizontal asymptote: y = 5 
B) Domain: all real numbers except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8 
C) Domain: all real numbers x
Vertical asymptote: x = -5
Horizontal asymptote: y = 0 
D) Domain: all real numbers except x = 5
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote 
E) Domain: all real numbers except x = 9
Vertical asymptote: x = 5
Horizontal asymptote: y = 8 
A) Domain: all real numbers x
Vertical asymptote: No vertical asymptoteHorizontal asymptote: y = 5 
B) Domain: all real numbers except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8 
C) Domain: all real numbers x
Vertical asymptote: x = -5
Horizontal asymptote: y = 0 
D) Domain: all real numbers except x = 5
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote 
E) Domain: all real numbers except x = 9
Vertical asymptote: x = 5
Horizontal asymptote: y = 8

Question 10

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality.  
Equation: $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$  
Inequality: $y \leq 0$

Accepted Answer

A)     $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq 1 + \sqrt { \frac { 4 } { 27 } }$ 
B)     $1 - \sqrt { \frac { 4 } { 27 } } \leq \mathrm { x } \leq 1 + \sqrt { \frac { 4 } { 27 } }$ 
C)    $x \leq 1 - \sqrt { \frac { 4 } { 27 } } , 1 + \sqrt { \frac { 4 } { 27 } } \leq x$ 
D)     $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , - 1 + \sqrt { \frac { 4 } { 27 } } \leq x$ 
E)     $- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$ 
A)     $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq 1 + \sqrt { \frac { 4 } { 27 } }$ 
B)     $1 - \sqrt { \frac { 4 } { 27 } } \leq \mathrm { x } \leq 1 + \sqrt { \frac { 4 } { 27 } }$ 
C)    $x \leq 1 - \sqrt { \frac { 4 } { 27 } } , 1 + \sqrt { \frac { 4 } { 27 } } \leq x$ 
D)     $x \leq - 1 - \sqrt { \frac { 4 } { 27 } } , - 1 + \sqrt { \frac { 4 } { 27 } } \leq x$ 
E)     $- 1 - \sqrt { \frac { 4 } { 27 } } \leq x \leq - 1 + \sqrt { \frac { 4 } { 27 } }$

Question 11

Find all the zeros of the function and write the polynomial as a product of linear factors. ​
X3 - 10x2 + 29x - 30
​

Accepted Answer

A) 2 ± i; 6; (x - 2 + i)(x + 2 - i)(x - 6) 
B) 2 ± i; 6; (x - 2 + i)(x - 2 + i)(x - 6) 
C) -2 ± i; 6; (x + 2 + i)(x + 2 - i)(x - 6) 
D) 2 ± i; -6; (x - 2 + i)(x - 2 - i)(x + 6) 
E) 2 ± i; 6; (x - 2 + i)(x - 2 - i)(x - 6) 
A) 2 ± i; 6; (x - 2 + i)(x + 2 - i)(x - 6) 
B) 2 ± i; 6; (x - 2 + i)(x - 2 + i)(x - 6) 
C) -2 ± i; 6; (x + 2 + i)(x + 2 - i)(x - 6) 
D) 2 ± i; -6; (x - 2 + i)(x - 2 - i)(x + 6) 
E) 2 ± i; 6; (x - 2 + i)(x - 2 - i)(x - 6)

Question 12

Compare the graph of $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ with $n ( x ) = x ^ { 2 }$ .

Accepted Answer

A)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts left 6 units, shifts downward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
B)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 6 units, shifts upward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
C)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts left 36 units, shifts upward 1 units, and shrinks by a factor of $- \frac { 1 } { 9 }$ . 
D)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 36 units, shifts upward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
E)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 6 units, shifts downward 1 units, and shrinks by a factor of $- \frac { 1 } { 81 }$ . 
A)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts left 6 units, shifts downward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
B)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 6 units, shifts upward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
C)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts left 36 units, shifts upward 1 units, and shrinks by a factor of $- \frac { 1 } { 9 }$ . 
D)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 36 units, shifts upward 1 units, and shrinks by a factor of $\frac { 1 } { 81 }$ . 
E)  $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ shifts right 6 units, shifts downward 1 units, and shrinks by a factor of $- \frac { 1 } { 81 }$ .

Question 13

Match the equation with its graph. 
 $\frac { 1 } { 20 } \left( x ^ { 5 } - x ^ { 4 } - 5 x ^ { 3 } - x ^ { 2 } - 6 x \right)$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the domain of the following function 
 $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$

Accepted Answer

A) all real numbers x except x = 36 
B) all real numbers x 
C) all real numbers x except x = 0 
D) all real numbers x except x = 6 
E) all real numbers x except x = -1 
A) all real numbers x except x = 36 
B) all real numbers x 
C) all real numbers x except x = 0 
D) all real numbers x except x = 6 
E) all real numbers x except x = -1

Question 15

Use synthetic division to divide. $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$

Accepted Answer

A)  $4 x ^ { 2 } - 11 x - 5$ 
B)  $4 x ^ { 2 } - 9 x + 2$ 
C)  $4 x ^ { 2 } - 3 x - 10$ 
D)  $4 x ^ { 2 } + 19 x - 4$ 
E)  $4 x ^ { 2 } + 6 x - 8$ 
A)  $4 x ^ { 2 } - 11 x - 5$ 
B)  $4 x ^ { 2 } - 9 x + 2$ 
C)  $4 x ^ { 2 } - 3 x - 10$ 
D)  $4 x ^ { 2 } + 19 x - 4$ 
E)  $4 x ^ { 2 } + 6 x - 8$

Question 16

Find the domain of x in the expression.
 $\sqrt { 9 - 4 x ^ { 2 } }$

Accepted Answer

A)  $\left[ \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]$ 
B)  $\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]$ 
C)  $\left[ - \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]$. 
D)  $\left[ - \frac { 2 } { 3 } , \frac { 2 } { 3 } \right]$ 
E)  $\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]$. 
A)  $\left[ \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]$ 
B)  $\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]$ 
C)  $\left[ - \frac { 3 } { 2 } , \frac { 3 } { 2 } \right]$. 
D)  $\left[ - \frac { 2 } { 3 } , \frac { 2 } { 3 } \right]$ 
E)  $\left[ - \frac { 3 } { 2 } , - \frac { 3 } { 2 } \right]$.

Question 17

Select the correct graph of the following function.   $f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 }$

Accepted Answer

A)     
B)     
C)     
D)     
E)     
A)     
B)     
C)     
D)     
E)

Question 18

Select the graph of the rational function $f ( x ) = - \frac { x + 6 } { x + 7 }$ .

Accepted Answer

A)    
B)    
C)     
D)     
E)     
A)    
B)    
C)     
D)     
E)

Question 19

Determine whether the value of $x = - 1$ is a solution of the inequality.   $\frac { 3 x ^ { 2 } } { x ^ { 2 } + 4 } < 1$

Accepted Answer

A) True 
 B)False

Question 20

Find all the zeros of the function and write the polynomial as a product of linear factors. ​
X4 - 81
​

Accepted Answer

A) 3, 3i; (x + 3)(x + 3)(x - 3i)(x - 3i) 
B) ±3i; (x - 3i)(x + 3i) 
C) ±3, ±3i; (x - 3)(x - 3)(x + 3i)(x + 3i) 
D) ±3; (x - 3)(x + 3) 
E) ±3, ±3i; (x - 3)(x + 3)(x - 3i)(x + 3i) 
A) 3, 3i; (x + 3)(x + 3)(x - 3i)(x - 3i) 
B) ±3i; (x - 3i)(x + 3i) 
C) ±3, ±3i; (x - 3)(x - 3)(x + 3i)(x + 3i) 
D) ±3; (x - 3)(x + 3) 
E) ±3, ±3i; (x - 3)(x + 3)(x - 3i)(x + 3i)

Write the quotient in standard form. $\frac { 11 } { 1 - i }$

If $f ( x ) = - 4 x ^ { 2 } + 6 x - 7$ , use synthetic division to evaluate f (2).

Determine whether the value of $x = \frac { 2 } { 7 }$ is a solution of the inequality. $x ^ { 2 } - 2 < 0$

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. $f ( x ) = \frac { 1 } { 2 } x ^ { 3 } + 3 x$

The number (1 + i) is a root of the equation. X ³ - 10x ² + 18x - 16 = 0 Find the other roots of the equation.

Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. $f ( x ) = 2 x ^ { 6 } + 8 x ^ { 4 } - 5 x ^ { 2 } + 7 , f ( - 3 )$

Select the graph of the function and determine the zeros of the polynomial. $g ( t ) = - \frac { 1 } { 4 } ( t - 2 ) ^ { 2 } ( t + 2 ) ^ { 2 }$

Find the domain of the function and identify any vertical and horizontal asymptotes. $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality. Equation: $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$ Inequality: $y \leq 0$

Find all the zeros of the function and write the polynomial as a product of linear factors. X³ - 10x² + 29x - 30

Compare the graph of $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ with $n ( x ) = x ^ { 2 }$ .

Match the equation with its graph. $\frac { 1 } { 20 } \left( x ^ { 5 } - x ^ { 4 } - 5 x ^ { 3 } - x ^ { 2 } - 6 x \right)$

Find the domain of the following function $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$

Use synthetic division to divide. $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$

Find the domain of x in the expression. $\sqrt { 9 - 4 x ^ { 2 } }$

Select the correct graph of the following function. $f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 }$

Select the graph of the rational function $f ( x ) = - \frac { x + 6 } { x + 7 }$ .

Determine whether the value of $x = - 1$ is a solution of the inequality. $\frac { 3 x ^ { 2 } } { x ^ { 2 } + 4 } < 1$

Find all the zeros of the function and write the polynomial as a product of linear factors. X⁴ - 81

Functions and Their Graphs

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 2: Polynomial and Rational Functions

Write the quotient in standard form. 111−i\frac { 11 } { 1 - i }1−i11​

If f(x)=−4x2+6x−7f ( x ) = - 4 x ^ { 2 } + 6 x - 7f(x)=−4x2+6x−7 , use synthetic division to evaluate f (2).

Determine whether the value of x=27x = \frac { 2 } { 7 }x=72​ is a solution of the inequality. x2−2<0x ^ { 2 } - 2 < 0x2−2<0

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. f(x)=12x3+3xf ( x ) = \frac { 1 } { 2 } x ^ { 3 } + 3 xf(x)=21​x3+3x

The number (1 + i) is a root of the equation. ​ X 3 - 10x 2 + 18x - 16 = 0 ​ Find the other roots of the equation. ​

Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. f(x)=2x6+8x4−5x2+7,f(−3)f ( x ) = 2 x ^ { 6 } + 8 x ^ { 4 } - 5 x ^ { 2 } + 7 , f ( - 3 )f(x)=2x6+8x4−5x2+7,f(−3)

Select the graph of the function and determine the zeros of the polynomial. g(t)=−14(t−2)2(t+2)2g ( t ) = - \frac { 1 } { 4 } ( t - 2 ) ^ { 2 } ( t + 2 ) ^ { 2 }g(t)=−41​(t−2)2(t+2)2

Find the domain of the function and identify any vertical and horizontal asymptotes. f(x)=5x2+8x2+x+9f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }f(x)=x2+x+95x2+8​

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality. Equation: y=16x2−6x+1y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1y=61​x2−6x+1 Inequality: y≤0y \leq 0y≤0

Find all the zeros of the function and write the polynomial as a product of linear factors. ​ X3 - 10x2 + 29x - 30 ​

Compare the graph of n=[−19(x+6)]2−1n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1n=[−91​(x+6)]2−1 with n(x)=x2n ( x ) = x ^ { 2 }n(x)=x2 .

Match the equation with its graph. 120(x5−x4−5x3−x2−6x)\frac { 1 } { 20 } \left( x ^ { 5 } - x ^ { 4 } - 5 x ^ { 3 } - x ^ { 2 } - 6 x \right)201​(x5−x4−5x3−x2−6x)

Find the domain of the following function f(x)=x2x2+36f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }f(x)=x2+36x2​

Use synthetic division to divide. (4x3+11x2−43x+10)÷(x+5)\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )(4x3+11x2−43x+10)÷(x+5)

Find the domain of x in the expression. 9−4x2\sqrt { 9 - 4 x ^ { 2 } }9−4x2​

Select the correct graph of the following function. f(x)=x2−16x+4f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 }f(x)=x+4x2−16​

Select the graph of the rational function f(x)=−x+6x+7f ( x ) = - \frac { x + 6 } { x + 7 }f(x)=−x+7x+6​ .

Determine whether the value of x=−1x = - 1x=−1 is a solution of the inequality. 3x2x2+4<1\frac { 3 x ^ { 2 } } { x ^ { 2 } + 4 } < 1x2+43x2​<1

Find all the zeros of the function and write the polynomial as a product of linear factors. ​ X4 - 81 ​

Functions and Their Graphs

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Additional Topics In Trigonometery

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Write the quotient in standard form. $\frac { 11 } { 1 - i }$

If $f ( x ) = - 4 x ^ { 2 } + 6 x - 7$ , use synthetic division to evaluate f (2).

Determine whether the value of $x = \frac { 2 } { 7 }$ is a solution of the inequality. $x ^ { 2 } - 2 < 0$

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. $f ( x ) = \frac { 1 } { 2 } x ^ { 3 } + 3 x$

The number (1 + i) is a root of the equation. X ³ - 10x ² + 18x - 16 = 0 Find the other roots of the equation.

Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method. $f ( x ) = 2 x ^ { 6 } + 8 x ^ { 4 } - 5 x ^ { 2 } + 7 , f ( - 3 )$

Select the graph of the function and determine the zeros of the polynomial. $g ( t ) = - \frac { 1 } { 4 } ( t - 2 ) ^ { 2 } ( t + 2 ) ^ { 2 }$

Find the domain of the function and identify any vertical and horizontal asymptotes. $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

Use a graphing utility to graph the equation.Use the graph to approximate the values of x that satisfy the inequality. Equation: $y = \frac { 1 } { 6 } x ^ { 2 } - 6 x + 1$ Inequality: $y \leq 0$

Find all the zeros of the function and write the polynomial as a product of linear factors. X³ - 10x² + 29x - 30

Compare the graph of $n = \left[ - \frac { 1 } { 9 } ( x + 6 ) \right] ^ { 2 } - 1$ with $n ( x ) = x ^ { 2 }$ .

Match the equation with its graph. $\frac { 1 } { 20 } \left( x ^ { 5 } - x ^ { 4 } - 5 x ^ { 3 } - x ^ { 2 } - 6 x \right)$

Find the domain of the following function $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$

Use synthetic division to divide. $\left( 4 x ^ { 3 } + 11 x ^ { 2 } - 43 x + 10 \right) \div ( x + 5 )$

Find the domain of x in the expression. $\sqrt { 9 - 4 x ^ { 2 } }$

Select the correct graph of the following function. $f ( x ) = \frac { x ^ { 2 } - 16 } { x + 4 }$

Select the graph of the rational function $f ( x ) = - \frac { x + 6 } { x + 7 }$ .

Determine whether the value of $x = - 1$ is a solution of the inequality. $\frac { 3 x ^ { 2 } } { x ^ { 2 } + 4 } < 1$

Find all the zeros of the function and write the polynomial as a product of linear factors. X⁴ - 81