1. 6. 10a3 + 15a2 – 20a – 30
7. x2 – 14x + 24
8. t2 – 15 – 2t
9. 25x2 – 16
10. 2n2 + 3n – 9
1. y2 – 5y
2. x2 + 16x +64
3. 3a2 – a – 4
–18y2 + y3 +81y
5. 8xy + 10xz – 14xw

2. Finishing 2.5

3. Remainder Theorem Factor Theorem
If a polynomial P is divided by x-k, then the remainder is P(k)
(x – k) is a factor of a polynomial P iff
P(k) = 0.
What is the remainder when P(x) = x is divided by x + 1
Factor Theorem
Is x + 1 a factor of P(x) = x3 + 2 ?

4. Factoring a Polynomial
Factor given that (x – 3) is a factor

5. Finding Zeros of a Function
Find the other zeros of given that –1 is a zero.
Zeros!
Roots!
Solutions!
All of these mean
to solve for x!

6. Factors vs. Zeros Factors look like: Zeros look like: (x – 4) (x + 3)
Opposite of what you see
2 is a zeros
f(-1) = 0
x = 5
Exactly what you see

7. Finding Zeros of a Function
Find the other zeros of given that –1 is a zero.

8. Assignment
Page 87 #13-24 Page 88 #11 & 12