2. What are the factors of 15?

3. 2
Is x ­ 3 a factor of 2x ­ 4x ­ 3
Long division:

4. 2
Is x ­ 3 a factor of 2x ­ 4x ­ 3
Synthetic Division:

5. Remainder Theorem:
If P(x) is a polynomial, then P(a) is equal
to the remainder when P(x) is divided by
x ­ a.

6. 4 2
Is x + 3 a factor of x ­ 10x ­ 2x + 4

7. Factor Theorem:
A polynomial P(x) has a factor x ­ a
if and only if P(a) = 0

8. Determine whether x + 2 is a factor of
3
f(x) = x ­ 6x ­ 4

9. 3 2
Is x + 2 a factor of x + 4x + 5x + 2

10. 3 2
Divide 6x + 16x ­ 19x ­ 4 by x ­ 2

11. 4 2
Divide x ­ 10x ­ 2x + 4 by x + 3

12. 4 2
Divide x ­ 10x ­ 2x + 4 by x + 3

14. Completely factor
3 2
f(x) = x ­ 2x ­ 5x + 6
constant
term

15. Completely factor:
3 2
f(x) = 2x + 3x ­ 8x + 3
(x ­ 1)(x + 3)(2x ­ 1)

17. Exercise 53
Questions 1 ­ 8