1. Polynomial Long Division

2. We can determine if a binomial or other polynomial term is a factor of a larger polynomial by seeing if it divides evenly.
is 9 a factor of 117? 9
117

3. Division works the same for Polynomials
(x-4)
2x4-5x3-14x2+15x-28

4. How many times does the lead term
of the divisor go into the lead term of
the dividend?
(3x-2)
into
6x3+11x2-28x+12 ?

5. Remember!
if EVERY exponent isn't present
in the polynomial, you must put in
a zero coefficient for that term.
(x+2) x5+2x4-5x2-9x+2

6. Practice Polynomial Long Division

7. Remainder Theorem
If there is no remainder
the divisor is a factor
What is there IS a remainder?
(x+3) (6x2-8x-2)