1. The Factor Theorem

2. To factor an expression means to re-write it as a product…… 10 = 5 X 2

3. Factoring Polynomials 1. Common Factoring: 4x + 8 = 4(x + 2)

4. Factoring Polynomials 2. Trinomial Factoring: x 2 + 5x + 6 = (x + 2)(x + 3) If we can not find integer factors, we use the quadratic formula….

5. Cubic formula?.... There is an analogous formula for polynomials of degree three: The solution of ax 3 +bx 2 +cx+d=0 is

7. A quartic equation, or equation of the fourth degree, is an equation consisting in equating to zero a quartic polynomial, of the form where a ≠ 0.

9. Ya.so, we need an easier way…

10. Complete the following: (x – 1)x 3 + 2x 2 – 1x - 2 Find the value of the function at the roots…

11. So… To factor a polynomial, use trial and error to determine which values for b result in f(b) = 0 In other words, if f(b) = 0, then x – b is a factor

14. +/- 1 +/- 2 +/- 3 +/- 6 +/- 9 +/- 16