Question 1

Divide the polynomials by either long division or synthetic division.

Accepted Answer

The answer of Divide the polynomials by either long division...

Question 2

For the polynomial function   , determine whether the graph touches or crosses at the x - intercept (-16, 0).

Accepted Answer

A)  crosses the y - axis at (-16, 0) 
B)  touches the y - axis at (-16, 0) 
C)  crosses the x - axis at (-16, 0) 
D)  touches the x - axis at (-16, 0) 
A)  crosses the y - axis at (-16, 0) 
B)  touches the y - axis at (-16, 0) 
C)  crosses the x - axis at (-16, 0) 
D)  touches the x - axis at (-16, 0)

Question 3

Sketch the graph of the polynomial function.

Accepted Answer

The answer of Sketch the graph of the polynomial function.
...

Question 4

Find all the real zeros (and state their multiplicity) of the polynomial function.

Accepted Answer

A)  0, -7, 1 
B)  -7, 1 
C)  0 (multiplicity 4), -7, and 1 
D)  0 (multiplicity 4), 7, and -1 
A)  0, -7, 1 
B)  -7, 1 
C)  0 (multiplicity 4), -7, and 1 
D)  0 (multiplicity 4), 7, and -1

Question 5

Match the graph to the rational function.

Accepted Answer

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

Question 6

Determine if the function   is a polynomial. If it is, state the degree

Accepted Answer

A)  Not a polynomial 
B)  a polynomial of degree 18 
C)  a polynomial of degree 7 
D)  a polynomial of degree 25 
A)  Not a polynomial 
B)  a polynomial of degree 18 
C)  a polynomial of degree 7 
D)  a polynomial of degree 25

Question 7

Divide the polynomials.

Accepted Answer

The answer of Divide the polynomials.  ...

Question 8

Use the rational zero theorem to list the possible rational zeros.

Accepted Answer

A)  {±1, ±3} 
B)  {±1} 
C)  {±1, ±1/7} 
D)  {±1, ±1/3} 
A)  {±1, ±3} 
B)  {±1} 
C)  {±1, ±1/7} 
D)  {±1, ±1/3}

Question 9

Determine if the function   is a polynomial. If it is, state the degree.

Accepted Answer

polynomial

Question 10

Divide the polynomials.

Accepted Answer

The answer of Divide the polynomials.  ...

Question 11

Use Descartes' rule of signs to determine the possible number of positive real zeros, negative real zeros, and imaginary zeros.

Accepted Answer

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

Question 12

Factor the polynomial as a product of linear factors.

Accepted Answer

P(x) = [x

Question 13

Match the quadratic function to an equation in standard form.

Accepted Answer

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

Question 14

Compute the following using synthetic division.

Accepted Answer

The answer of Compute the following using synthetic division. ...

Question 15

Factor the polynomial as a product of linear factors.

Accepted Answer

A)  P(x) = [x + (2 - 3i)][x + (2 + 3i)](x - 1) 
B)  P(x) = [x - (2 - 3i)][x - (2 + 3i)](x + 1) 
C)  P(x) = [x - (2 - 3i)][x - (2 + 3i)](x - 1) 
D)  P(x) = [x - (-2 - 3i)][x + (-2 + 3i)](x + 1) 
A)  P(x) = [x + (2 - 3i)][x + (2 + 3i)](x - 1) 
B)  P(x) = [x - (2 - 3i)][x - (2 + 3i)](x + 1) 
C)  P(x) = [x - (2 - 3i)][x - (2 + 3i)](x - 1) 
D)  P(x) = [x - (-2 - 3i)][x + (-2 + 3i)](x + 1)

Question 16

For the polynomial f (x) =   + 3   - 5x + 3, use synthetic division to find f (-3).

Accepted Answer

A)  -18 
B)  -12 
C)  18 
D)  12 
A)  -18 
B)  -12 
C)  18 
D)  12

Question 17

Factor the polynomial as a product of linear factors.

Accepted Answer

A)  P(x) = [x + (-5 + 3i)][x + (-5 - 3i)](x - 5)(x + 4) 
B)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x + 5)(x + 4) 
C)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x - 4) 
D)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x + 4) 
A)  P(x) = [x + (-5 + 3i)][x + (-5 - 3i)](x - 5)(x + 4) 
B)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x + 5)(x + 4) 
C)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x - 4) 
D)  P(x) = [x - (-5 + 3i)][x - (-5 - 3i)](x - 5)(x + 4)

Question 18

Use long division to divide

Accepted Answer

The answer of Use long division to divide  ...

Question 19

Graph the quadratic function given in standard form.

Accepted Answer

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

Question 20

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Accepted Answer

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

Divide the polynomials by either long division or synthetic division.

For the polynomial function , determine whether the graph touches or crosses at the x - intercept (-16, 0).

Sketch the graph of the polynomial function.

Find all the real zeros (and state their multiplicity) of the polynomial function.

Match the graph to the rational function.

Determine if the function is a polynomial. If it is, state the degree

Divide the polynomials.

Use the rational zero theorem to list the possible rational zeros.

Determine if the function is a polynomial. If it is, state the degree.

Divide the polynomials.

Use Descartes' rule of signs to determine the possible number of positive real zeros, negative real zeros, and imaginary zeros.

Factor the polynomial as a product of linear factors.

Match the quadratic function to an equation in standard form.

Compute the following using synthetic division.

Factor the polynomial as a product of linear factors.

For the polynomial f (x) = + 3 - 5x + 3, use synthetic division to find f (-3).

Factor the polynomial as a product of linear factors.

Use long division to divide

Graph the quadratic function given in standard form.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

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Exam 4: Polynomial and Rational Functions

Divide the polynomials by either long division or synthetic division.

For the polynomial function , determine whether the graph touches or crosses at the x - intercept (-16, 0).

Sketch the graph of the polynomial function.

Find all the real zeros (and state their multiplicity) of the polynomial function.

Match the graph to the rational function.

Determine if the function is a polynomial. If it is, state the degree

Divide the polynomials.

Use the rational zero theorem to list the possible rational zeros.

Determine if the function is a polynomial. If it is, state the degree.

Divide the polynomials.

Use Descartes' rule of signs to determine the possible number of positive real zeros, negative real zeros, and imaginary zeros.

Factor the polynomial as a product of linear factors.

Match the quadratic function to an equation in standard form.

Compute the following using synthetic division.

Factor the polynomial as a product of linear factors.

For the polynomial f (x) = + 3 - 5x + 3, use synthetic division to find f (-3).

Factor the polynomial as a product of linear factors.

Use long division to divide

Graph the quadratic function given in standard form.

Use Descartes' rule of signs to determine the possible number of positive real zeros and negative real zeros.

Equations and Inequalities

Graphs

Functions and Their Graphs

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters