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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Functions
Synthetic Division and The Factor Theorem

Warm-Ups



1

To divide x3 - 4x2 - 3 by x - 5, use 5 in the synthetic division.
A)TRUE
B)FALSE
2

To divide 5x4 - x3 + x - 2 by x + 7, use -7 in the synthetic division.
A)TRUE
B)FALSE
3

The number 2 is a zero of P(x) = 3x3 - 5x2 - 2x + 2.
A)TRUE
B)FALSE
4

If x3 = 8 is divided by x - 2, then R = 0.
A)TRUE
B)FALSE
5

If R = 0 when x4 - 1 is divided by x - a, then x - a is a factor of x4 - 1.
A)TRUE
B)FALSE
6

If -2 satisfies x4 + 8x = 0, then x + 2 is a factor of x4 + 8x.
A)TRUE
B)FALSE
7

The binomial x - 1 is a factor of x35 - 3x24 + 2x18.
A)TRUE
B)FALSE
8

The binomial x + 1 is a factor of x3 - 3x2 + x + 5.
A)TRUE
B)FALSE
9

If x3 - 5x + 4 is divided by x - 1, then R = 0.
A)TRUE
B)FALSE
10

If R = 0 when P(x) = x3 - 5x - 2 is divided by x + 2, then P(-2) = 0.
A)TRUE
B)FALSE








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