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Remainder and Factor Theorem Day 1 1 February 25, 2019

Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

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Page 1: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

1

February 25, 2019

Page 2: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

2

February 25, 2019

Page 3: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

3

February 25, 2019

Page 4: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

4

February 25, 2019

Page 5: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

5

February 25, 2019

Page 6: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

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February 25, 2019

Complete 13­29 ALL; you must show all work on a separate piece of paper! Check answers on the BLOG.

Page 7: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

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February 25, 2019

25. x ­ 2

Even Solutions

26. f(­2) = 30

28. No, since f(­3) does not equal 0, then x = ­3 is not a zero of f(x).

27. f(5) = 54

29. Yes, since f(2) = 0, then x = 2 is a zero of f(x).

Page 8: Remainder and Factor Theorem Day 1 - Mrs. Allison's BLOG...Remainder Theorem: If a polynomial f (x) is divided by x — k , then the remainder, r , is r f (This connects synthetic

Remainder and Factor Theorem Day 1

8

February 25, 2019