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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)
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