Question 1

Multiply.
-$12 x ( 6 x - 10 )$

Accepted Answer

A)  $72 x ^ { 2 } - 120 x$ 
B)  $72 x ^ { 2 }$ 
C)  $6 x ^ { 2 } - 120 x$ 
D)  $72 x ^ { 2 } + 12 x$ 
A)  $72 x ^ { 2 } - 120 x$ 
B)  $72 x ^ { 2 }$ 
C)  $6 x ^ { 2 } - 120 x$ 
D)  $72 x ^ { 2 } + 12 x$

Question 2

Multiply.
-$$[ ( 3 x - 2 ) + 3 y ] ^ { 2 }$$

Accepted Answer

A)  $9 x ^ { 2 } - 6 x + 4 + 9 x y + 6 y + 9 y ^ { 2 }$ 
B)  $9 x ^ { 2 } - 12 x + 4 + 9 x y + 6 y + 9 y ^ { 2 }$ 
C)  $9 x ^ { 2 } - 12 x + 4 + 18 x y - 12 y + 9 y ^ { 2 }$ 
D)  $9 x ^ { 2 } - 12 x + 18 x y - 12 y + 9 y ^ { 2 }$ 
A)  $9 x ^ { 2 } - 6 x + 4 + 9 x y + 6 y + 9 y ^ { 2 }$ 
B)  $9 x ^ { 2 } - 12 x + 4 + 9 x y + 6 y + 9 y ^ { 2 }$ 
C)  $9 x ^ { 2 } - 12 x + 4 + 18 x y - 12 y + 9 y ^ { 2 }$ 
D)  $9 x ^ { 2 } - 12 x + 18 x y - 12 y + 9 y ^ { 2 }$

Question 3

Factor.
-$25 - 81 x ^ { 2 }$

Accepted Answer

A)  $( 5 - 9 x ) ^ { 2 }$ 
B)  $( 5 + 9 x ) ( 5 - 9 x )$ 
C)  $( 5 + 9 x ) ^ { 2 }$ 
D)  prime polynomial 
A)  $( 5 - 9 x ) ^ { 2 }$ 
B)  $( 5 + 9 x ) ( 5 - 9 x )$ 
C)  $( 5 + 9 x ) ^ { 2 }$ 
D)  prime polynomial

Question 4

Multiply.
-$$\left( 5 x ^ { 2 } \right) \left( - 2 x ^ { 3 } \right)$$

Accepted Answer

A)  $- 10 x ^ { 6 }$ 
B)  $10 x ^ { 6 }$ 
C)  $- 10 x ^ { 5 }$ 
D)  $10 x ^ { 5 }$ 
A)  $- 10 x ^ { 6 }$ 
B)  $10 x ^ { 6 }$ 
C)  $- 10 x ^ { 5 }$ 
D)  $10 x ^ { 5 }$

Question 5

Use substitution to factor the polynomial completely.
-$$x ^ { 4 } - 5 x ^ { 2 } - 24$$

Accepted Answer

A)  $\left( x ^ { 2 } - 3 \right) \left( x ^ { 2 } - 8 \right)$ 
B)  $\left( x ^ { 2 } - 3 \right) \left( x ^ { 2 } + 8 \right)$ 
C)  $\left( x ^ { 2 } + 3 \right) \left( x ^ { 2 } - 8 \right)$ 
D)  $\left( x ^ { 2 } + 3 \right) \left( x ^ { 2 } + 8 \right)$ 
A)  $\left( x ^ { 2 } - 3 \right) \left( x ^ { 2 } - 8 \right)$ 
B)  $\left( x ^ { 2 } - 3 \right) \left( x ^ { 2 } + 8 \right)$ 
C)  $\left( x ^ { 2 } + 3 \right) \left( x ^ { 2 } - 8 \right)$ 
D)  $\left( x ^ { 2 } + 3 \right) \left( x ^ { 2 } + 8 \right)$

Question 6

Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of
these.
-$$- 7 x ^ { 9 } + 8 x - 7$$

Accepted Answer

A)  trinomial of degree 10 
B)  trinomial of degree 9 
C)  binomial of degree 10 
D)  binomial of degree 9 
A)  trinomial of degree 10 
B)  trinomial of degree 9 
C)  binomial of degree 10 
D)  binomial of degree 9

Question 7

Solve the equation.
-$$( 2 x - 7 ) ( x + 1 ) = 0$$

Accepted Answer

A)  $\left\{ \frac { 2 } { 7 } , 1 \right\}$ 
B)  $\left\{ \frac { 2 } { 7 } , 0 \right\}$ 
C)  $\left\{ \frac { 7 } { 2 } , - 1 \right\}$ 
D)  $\left\{ \frac { 2 } { 7 } , - 1 \right\}$ 
A)  $\left\{ \frac { 2 } { 7 } , 1 \right\}$ 
B)  $\left\{ \frac { 2 } { 7 } , 0 \right\}$ 
C)  $\left\{ \frac { 7 } { 2 } , - 1 \right\}$ 
D)  $\left\{ \frac { 2 } { 7 } , - 1 \right\}$

Question 8

Find the degree of the term.
$4.61 x ^ { 4 } z ^ { 6 }$

Accepted Answer

A)  4 
B)  6 
C)  10 
D)  no degree 
A)  4 
B)  6 
C)  10 
D)  no degree

Question 9

Factor the polynomial completely.
-$$64 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }$$

Accepted Answer

A)  $x \left( 8 y + 3 z ^ { 2 } \right) ^ { 2 }$ 
B)  $x \left( 8 y - 3 z ^ { 2 } \right) \left( 8 y + 3 z ^ { 2 } \right)$ 
C)  $x \left( 8 y - 3 z ^ { 2 } \right) ^ { 2 }$ 
D)  $x ( 8 y - 3 z ) ( 8 y + 3 z )$ 
A)  $x \left( 8 y + 3 z ^ { 2 } \right) ^ { 2 }$ 
B)  $x \left( 8 y - 3 z ^ { 2 } \right) \left( 8 y + 3 z ^ { 2 } \right)$ 
C)  $x \left( 8 y - 3 z ^ { 2 } \right) ^ { 2 }$ 
D)  $x ( 8 y - 3 z ) ( 8 y + 3 z )$

Question 10

Multiply.
-$$( x - 9 ) ( - 3 x - 5 )$$

Accepted Answer

A)  $- 3 x ^ { 2 } + 22 x + 22$ 
B)  $- 3 x ^ { 2 } + 45 x + 22$ 
C)  $- 3 x ^ { 2 } + 20 x + 45$ 
D)  $- 3 x ^ { 2 } + 22 x + 45$ 
A)  $- 3 x ^ { 2 } + 22 x + 22$ 
B)  $- 3 x ^ { 2 } + 45 x + 22$ 
C)  $- 3 x ^ { 2 } + 20 x + 45$ 
D)  $- 3 x ^ { 2 } + 22 x + 45$

Question 11

Factor.
-$$4 x ^ { 2 } y ^ { 2 } - 12 x ^ { 2 } y + 9 x ^ { 2 }$$

Accepted Answer

A)  $x ^ { 2 } ( 2 y + 3 ) ^ { 2 }$ 
B)  $x ^ { 2 } ( 2 y - 3 ) ( 2 y + 3 )$ 
C)  $x ^ { 2 } ( 2 y - 3 ) ^ { 2 }$ 
D)  prime polynomial 
A)  $x ^ { 2 } ( 2 y + 3 ) ^ { 2 }$ 
B)  $x ^ { 2 } ( 2 y - 3 ) ( 2 y + 3 )$ 
C)  $x ^ { 2 } ( 2 y - 3 ) ^ { 2 }$ 
D)  prime polynomial

Question 12

Solve.
-Find the area of the circle. Do not approximate .

Accepted Answer

A)  $\left( 64 x ^ { 2 } - 48 x + 9 \right) s q m$ 
B)  $\pi \left( 64 x ^ { 2 } - 48 x + 9 \right) s q m$ 
C)  $\pi \left( 8 x ^ { 2 } - 48 x + 9 \right) s q m$ 
D)  $\pi \left( 64 x ^ { 2 } + 9 \right) s q m$ 
A)  $\left( 64 x ^ { 2 } - 48 x + 9 \right) s q m$ 
B)  $\pi \left( 64 x ^ { 2 } - 48 x + 9 \right) s q m$ 
C)  $\pi \left( 8 x ^ { 2 } - 48 x + 9 \right) s q m$ 
D)  $\pi \left( 64 x ^ { 2 } + 9 \right) s q m$

Question 13

Subtract.
-$$( 4 x + 9 ) - ( - x - 1 )$$

Accepted Answer

A)  $4 x + 8$ 
B)  $3 x + 8$ 
C)  $5 x + 8$ 
D)  $5 x + 10$ 
A)  $4 x + 8$ 
B)  $3 x + 8$ 
C)  $5 x + 8$ 
D)  $5 x + 10$

Question 14

Factor the polynomial.
-$5 x ^ { 2 } - 5 x - 30$

Accepted Answer

A)  $5 ( x + 2 ) ( x - 3 )$ 
B)  $5 ( x - 2 ) ( x + 3 )$ 
C)  $( 5 x + 10 ) ( x - 3 )$ 
D)  prime polynomial 
A)  $5 ( x + 2 ) ( x - 3 )$ 
B)  $5 ( x - 2 ) ( x + 3 )$ 
C)  $( 5 x + 10 ) ( x - 3 )$ 
D)  prime polynomial

Question 15

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).
-$$P ( x ) = 2 x ^ { 2 } - 4 x + 5 ; \frac { 1 } { 3 }$$

Accepted Answer

A)  $- \frac { 1 } { 3 }$ 
B)  $- \frac { 35 } { 9 }$ 
C)  $\frac { 35 } { 9 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $- \frac { 1 } { 3 }$ 
B)  $- \frac { 35 } { 9 }$ 
C)  $\frac { 35 } { 9 }$ 
D)  $\frac { 1 } { 3 }$

Question 16

Factor the polynomial completely.
-$24 x ^ { 3 } y + 52 x ^ { 2 } y + 24 x y$

Accepted Answer

A)  $4 x y ( 6 x + 3 ) ( x + 2 )$ 
B)  $4 x y ( 2 x + 1 ) ( 3 x + 6 )$ 
C)  $4 x y ( 2 x + 3 ) ( 3 x + 2 )$ 
D)  $4 y ( 2 x + 1 ) ( 3 x + 6 )$ 
A)  $4 x y ( 6 x + 3 ) ( x + 2 )$ 
B)  $4 x y ( 2 x + 1 ) ( 3 x + 6 )$ 
C)  $4 x y ( 2 x + 3 ) ( 3 x + 2 )$ 
D)  $4 y ( 2 x + 1 ) ( 3 x + 6 )$

Question 17

Divide.
-$$\frac { - 48 x ^ { 9 } - 12 x ^ { 8 } - 18 x ^ { 6 } - 36 x ^ { 4 } } { - 6 x ^ { 6 } }$$

Accepted Answer

A)  $- 8 x ^ { 3 } - 2 x ^ { 2 } - 3 - \frac { 6 } { x ^ { 2 } }$ 
B)  $8 x ^ { 3 } + 2 x ^ { 2 } + 3$ 
C)  $8 x ^ { 3 } + 2 x ^ { 2 } + 3 + \frac { 6 } { x ^ { 2 } }$ 
D)  $8 x ^ { 3 } + 8 x ^ { 2 } + 3$ 
A)  $- 8 x ^ { 3 } - 2 x ^ { 2 } - 3 - \frac { 6 } { x ^ { 2 } }$ 
B)  $8 x ^ { 3 } + 2 x ^ { 2 } + 3$ 
C)  $8 x ^ { 3 } + 2 x ^ { 2 } + 3 + \frac { 6 } { x ^ { 2 } }$ 
D)  $8 x ^ { 3 } + 8 x ^ { 2 } + 3$

Question 18

Multiply.
-$$( 6 x + 5 ) ( 6 x - 5 )$$

Accepted Answer

A)  $36 x ^ { 2 } - 60 x - 25$ 
B)  $36 x ^ { 2 } + 60 x - 25$ 
C)  $x ^ { 2 } - 25$ 
D)  $36 x ^ { 2 } - 25$ 
A)  $36 x ^ { 2 } - 60 x - 25$ 
B)  $36 x ^ { 2 } + 60 x - 25$ 
C)  $x ^ { 2 } - 25$ 
D)  $36 x ^ { 2 } - 25$

Question 19

Factor out the greatest common factor.
-$$x ( y - 15 ) - 9 ( y - 15 )$$

Accepted Answer

A)  $( y - 15 ) ( x + 9 )$ 
B)  $( y - 15 ) ( x - 9 )$ 
C)  $- 9 x ( y - 15 )$ 
D)  $( x y - 15 x ) - ( 9 y - 135 )$ 
A)  $( y - 15 ) ( x + 9 )$ 
B)  $( y - 15 ) ( x - 9 )$ 
C)  $- 9 x ( y - 15 )$ 
D)  $( x y - 15 x ) - ( 9 y - 135 )$

Question 20

Fill in the blank with one of the words or phrases listed below.

-A polynomial equation of degree 2 is also called a .

Accepted Answer

A)  trinomial 
B)  monomial 
C)  quadratic equation 
D)  binomial 
A)  trinomial 
B)  monomial 
C)  quadratic equation 
D)  binomial

Multiply. - $12 x ( 6 x - 10 )$

Multiply. - $[ ( 3 x - 2 ) + 3 y ] ^ { 2 }$

Factor. - $25 - 81 x ^ { 2 }$

Multiply. - $\left( 5 x ^ { 2 } \right) \left( - 2 x ^ { 3 } \right)$

Use substitution to factor the polynomial completely. - $x ^ { 4 } - 5 x ^ { 2 } - 24$

Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these. - $- 7 x ^ { 9 } + 8 x - 7$

Solve the equation. - $( 2 x - 7 ) ( x + 1 ) = 0$

Find the degree of the term. $4.61 x ^ { 4 } z ^ { 6 }$

Factor the polynomial completely. - $64 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }$

Multiply. - $( x - 9 ) ( - 3 x - 5 )$

Factor. - $4 x ^ { 2 } y ^ { 2 } - 12 x ^ { 2 } y + 9 x ^ { 2 }$

Solve. -Find the area of the circle. Do not approximate .

Subtract. - $( 4 x + 9 ) - ( - x - 1 )$

Factor the polynomial. - $5 x ^ { 2 } - 5 x - 30$

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). - $P ( x ) = 2 x ^ { 2 } - 4 x + 5 ; \frac { 1 } { 3 }$

Factor the polynomial completely. - $24 x ^ { 3 } y + 52 x ^ { 2 } y + 24 x y$

Divide. - $\frac { - 48 x ^ { 9 } - 12 x ^ { 8 } - 18 x ^ { 6 } - 36 x ^ { 4 } } { - 6 x ^ { 6 } }$

Multiply. - $( 6 x + 5 ) ( 6 x - 5 )$

Factor out the greatest common factor. - $x ( y - 15 ) - 9 ( y - 15 )$

Fill in the blank with one of the words or phrases listed below. -A polynomial equation of degree 2 is also called a .

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 5: Polynomials and Polynomial Functions

Multiply. - 12x(6x−10)12 x ( 6 x - 10 )12x(6x−10)

Multiply. - [(3x−2)+3y]2[ ( 3 x - 2 ) + 3 y ] ^ { 2 }[(3x−2)+3y]2

Factor. - 25−81x225 - 81 x ^ { 2 }25−81x2

Multiply. - (5x2)(−2x3)\left( 5 x ^ { 2 } \right) \left( - 2 x ^ { 3 } \right)(5x2)(−2x3)

Use substitution to factor the polynomial completely. - x4−5x2−24x ^ { 4 } - 5 x ^ { 2 } - 24x4−5x2−24

Find the degree of the polynomial and indicate whether the polynomial is a monomial, binomial, trinomial, or none of these. - −7x9+8x−7- 7 x ^ { 9 } + 8 x - 7−7x9+8x−7

Solve the equation. - (2x−7)(x+1)=0( 2 x - 7 ) ( x + 1 ) = 0(2x−7)(x+1)=0

Find the degree of the term. 4.61x4z64.61 x ^ { 4 } z ^ { 6 }4.61x4z6

Factor the polynomial completely. - 64xy2−48xyz2+9xz464 x y ^ { 2 } - 48 x y z ^ { 2 } + 9 x z ^ { 4 }64xy2−48xyz2+9xz4

Multiply. - (x−9)(−3x−5)( x - 9 ) ( - 3 x - 5 )(x−9)(−3x−5)

Factor. - 4x2y2−12x2y+9x24 x ^ { 2 } y ^ { 2 } - 12 x ^ { 2 } y + 9 x ^ { 2 }4x2y2−12x2y+9x2