1. Explain why you don’t have to subtract when using Synthetic Division
Bell Ringer

2. Polynomial Theorems
Monday, February 15, 2016

3. The number of roots of a polynomial is equal to its degree.
Fundamental Theorem of Algebra

4. The remainder when dividing a polynomial by (x-a) is the value of that polynomial at “a”.
The Remainder Theorem

5. The binomial x-a is a factor of the polynomial f(x) if and only if f(a)=0.
The Factor Theorem

6. Remember how to factor??? From Math II class…
Factoring Polynomials

7. Greatest Common Factor
No matter what type of polynomial you are factoring, you always factor out the GCF first!

8. If it’s a binomial…
See it it’s a difference of perfect squares:
Ex: (4x2 – 9)  (2x + 3) (2x – 3)

9. If it’s a trinomial… See if it’s a perfect square trinomial
Ex: 4x2 – 4x +1  (2x -1)2
Ex: 9x2 + 24x + 16  (3x + 4)2
If not, “Unfoil” or “ac-b box” it.

10. Algebra II book p.368 #13-40 all
Classwork

11. Fundamental Theorem/ Remainder Theorem Worksheet
Homework

12. Exit Ticket
1. How does the degree of a polynomial relate to its factors?
2. If something is a factor of a polynomial, what is the remainder if you were to divide by that factor?