# 1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Synthetic.

## Presentation on theme: "1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Synthetic."— Presentation transcript:

1 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt 10 pt 15 pt 20 pt 25 pt 5 pt Synthetic Division Division Theorems Zeros Polynomial Division/Fac toring Category 5

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

3

4

5

6 Use synthetic division to determine whether the number k is an upper bound for the real zeros of the function f. k = 1;

7 Yes

9 Question 4

11 Question 5

12 Find the remainder when f(x) is divided by (x-k); k=-4

13 5

14 Find the remainder when x 48 + 6 is divided by x+1

15 7

16 Find the remainder when f(x) is divided by (x-k) k = -2

17 45

19 Question 9

21 Question 10

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

23 ±1, ±1/2, ±7, ±7/2, ±1/7, ±1/14

24 Find all rational zeros

25 -1/3, ¼, -4

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

27 5 (rational), 1+√5 (irrational), and 1-√5 (irrational)

29 Question 14

31 Question 15

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

33

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

35

36 Find the cubic function with the given table of values x-5-217 f(x)024300

37

39 Question 19

41 Question 20

43 Question 21

45 Question 22

47 Question 23

49 Question 24