Practice Test
Chapter 6 Sections 1 – 4.
Name _________________________
Period # ______
Section 1 – Polynomial Functions:
2
B. What is the degree of the Polynomial? a.) x 3  x  3  x  1

 
P. Simplify. 4 x 2  3x  5  7 x 2  5x  2
b.) y  6 x 4  3x 2  10

A. Simplify. Write your answer in Standard Form. y  x  2  8
3
Section 2 – Polynomials and Linear Factors: (Part 1)
B. Write the Polynomial in Factored Form. x 4  10 x 3  24 x 2
P. Write the Polynomial in Standard Form. x 2 x  1
2
A. Write a Polynomial Function in Standard Form with the given zeroes at 3, 3, -4, -4
Section 3 – Dividing Polynomials: (Part 1) Long Division
B. Divide using Long Division. x 2  11x  30  x  5
P. Divide using Long Division.


x  3x  x  4  x  3
3x  5x  2x  3x  4  3x  2
4
2
4
3
2
A. Divide using Long Division.
Show how you check your answer to this question for bonus.
Section 3 – Dividing Polynomials: (Part 2) Synthetic Division
B. a.) Divide using Synthetic Division. x 2  11x  30  x  5
b.) Explain why the divisor is, or is not a factor of the Dividend above.


P. Use Synthetic Division and the Remainder Theorem to find Pa .
Px   2 x 4  3x 2  6 x  2 ; a = -3
A. Use Synthetic Division and the given factor to completely factor the polynomial function.
y  x 3  9 x 2  14 x  24 ; (x – 4)
Section 4 – Solving Polynomial Equations:
B. Factor.
a.) 8 x 3  125
b.) x 4  x 2  12
P. Solve.
a.) 27 x 3  8  0
b.) x 4  x 2  20  0
A. Solve.
a.) 2 x 5  10 x 3  72 x
b.) x 3  4 x 2  9 x  36  0