Remainder and Factor Theorem, Slides of Mathematics

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REMAINDER

and

FACTOR

THEOREM

Objectives:

v Recall division of polynomial through

synthetic division

v State Remainder Theorem and Factor

Theorem

v Apply the Remainder Theorem to determine

the remainder if a polynomial is divided by a

binomial

v Determine whether x-c is a factor of P(x)

Lets Try… Find the remainder when P(x) = 3x

• 7x – 20 is divided by each of the following: 1.) x – 2 2.) x + 1 3.) x + 4

Answers:

6

• 24 0

You Try…

Determine if the first polynomial is a factor of

the second.

1) x – 1, x

2

• 5x + 4

2) x – 2, x

2

+ 2x – 8

3) x + 3, - 3x

2

• 5x + 18

4) x + 2, - 2x

2

• x + 4

5) x + 2, x

3

• 6x – 4

yes it’s a factor

yes it’s a factor

No it’s not a factor

No it’s not a factor

yes it’s a factor