4.3 - synthetic division.notebook...4.3 synthetic division.notebook 2 october 29, 2018 oct 2510:47...

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4.3 Synthetic Division.notebook 1 October 29, 2018 Oct 2510:56 AM Bell Work 1. (4x 4 + 5x 4) ÷ (x 2 3x 2) 2. 3. 2. B 3. F Oct 2510:56 AM Bell Work 1. (4x 4 + 5x 4) ÷ (x 2 3x 2) Oct 2510:54 AM Assignment : p. 186 # 517 odds & 2531 odds Long Division 5. (x 2 + x 17) ÷ (x 4) 7. (x 3 +x 2 + x + 2) ÷ (x 2 1) 9. (5x 4 2x 3 7x 2 39) ÷ (x 2 + 2x 4) Oct 2510:34 AM 4.3 Dividing Polynomials Day 2: Synthetic Division Ex. 2: Divide x 3 + 4x 2 + 9 by x 3 Ex. 3: Divide 3x 3 2x 2 + 2x 5 by x + 1 Oct 2510:46 AM You Practice (x 3 3x 2 7x + 6) ÷ (x 2) (2x 3 x 7) ÷ (x + 3) Oct 2510:54 AM Assignment : p. 186 # 517 odds & 2531 odds Synthetic Division 11. (x 2 + 8x + 1) ÷ (x 4) 13. (2x 2 x + 7) ÷ (x + 5) 15. (x 2 + 9) ÷ (x 3) 17. (x 4 5x 3 8x 2 + 13x 12) ÷ (x 6)

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Page 1: 4.3 - Synthetic Division.notebook...4.3 Synthetic Division.notebook 2 October 29, 2018 Oct 2510:47 AM Remainder Theorem If a polynomial f(x) is divided by x k, then the remainder is

4.3 Synthetic Division.notebook

1

October 29, 2018

Oct 2510:56 AM

Bell Work1. (4x4 + 5x 4) ÷ (x2 3x 2)

2.

3.

2. B

3. F

Oct 2510:56 AM

Bell Work1. (4x4 + 5x 4) ÷ (x2 3x 2)

Oct 2510:54 AM

Assignment: p. 186 # 517 odds & 2531 odds

Long Division

5. (x2 + x 17) ÷ (x 4)

7. (x3 + x2 + x + 2) ÷ (x2 1)

9. (5x4 2x3 7x2 39) ÷ (x2 + 2x 4)

Oct 2510:34 AM

4.3 Dividing Polynomials Day 2: Synthetic Division

Ex. 2: Divide x3 + 4x2 + 9 by x 3

Ex. 3: Divide 3x3 2x2 + 2x 5 by x + 1

Oct 2510:46 AM

You Practice(x3 3x2 7x + 6) ÷ (x 2)

(2x3 x 7) ÷ (x + 3)

Oct 2510:54 AM

Assignment: p. 186 # 517 odds & 2531 odds

Synthetic Division

11. (x2 + 8x + 1) ÷ (x 4)

13. (2x2 x + 7) ÷ (x + 5)

15. (x2 + 9) ÷ (x 3)

17. (x4 5x3 8x2 + 13x 12) ÷ (x 6)

Page 2: 4.3 - Synthetic Division.notebook...4.3 Synthetic Division.notebook 2 October 29, 2018 Oct 2510:47 AM Remainder Theorem If a polynomial f(x) is divided by x k, then the remainder is

4.3 Synthetic Division.notebook

2

October 29, 2018

Oct 2510:47 AM

Remainder Theorem

If a polynomial f(x) is divided by x k, then the remainder is r = f(k).

Ex. 4: Evaluate f(x) = 5x3 x2 + 13x + 29 when x = 4.

Oct 2510:46 AM

You Practice

f(x) = 4x2 10x 21 x = 5

f(x) = 5x4 + 2x3 20x 6 x = 2

Evaluate the function for the given value.

Oct 2510:54 AM

Assignment: p. 186 # 517 odds & 2531 odds

Evaluate:

25. f(x) = x2 8x + 30 x = 1

27. f(x) = x3 2x2 + 4x + 3 x = 2

29. f(x) = x3 6x + 1x = 6

31. f(x) = x4 + 6x2 7x + 1x = 3

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