Polynomial Division/Factoring

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Presentation transcript:

Polynomial Division/Factoring Eleanor M. Savko Synthetic Division Division Theorems Zeros 9/13/2018 Polynomial Division/Factoring Category 5 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt PreCalculus Jeopardy 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt

Divide using synthetic division, and write a summary statement in fraction form.

A

Divide using synthetic division, and write a summary statement in fraction form.

C

Use synthetic division to determine whether the number k is an upper bound for the real zeros of the function f. k = 1; A. No B. Yes

B. Yes

Answer 4

Question 4

Answer 5

Question 5

Find the remainder when f(x) is divided by (x-k); k=-4 A. -5. B. 5. C Find the remainder when f(x) is divided by (x-k); k=-4 A. -5 B. 5 C. 37 D. 27

B. 5

Find the remainder when x48 + 6 is divided by x+1 A. -5. B. 7. C. 5. D

B. 7

Find the remainder when f(x) is divided by (x-k) k = -2 A. 45. B. -75 Find the remainder when f(x) is divided by (x-k) k = -2 A. 45 B. -75 C. 102 D. 83

A. 45

Answer 9

Question 9

Answer 10

Question 10

Use the Rational Zeros Theorem to write a list of all potential zeros

D. ±1, ±1/2, ±7, ±7/2, ±1/7, ±1/14

Find all rational zeros

B. -1/3, ¼, -4

Find all of the real zeros of the function Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.

C. 5 (rational), 1+√5 (irrational), and 1-√5 (irrational)

Answer 14

Question 14

Answer 15

Question 15

Divide f(x) by d(x), and write a summary statement in fractional form

A.

Divide f(x) by d(x), and write a summary statement in polynomial form

A.

Find the cubic function with the given table of values x -5 -2 1 7 f(x) 243

D.

Answer 19

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Question 20

Answer 21

Question 21

Answer 22

Question 22

Answer 23

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Answer 24

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Questions 25