1. Do Now 3/2/10  Take out HW from last night. Greatest Common Factor worksheet #34 Greatest Common Factor worksheet #34  Copy HW in your planner. Text p. 578, #4-48 multiples of 4 Text p. 578, #4-48 multiples of 4  In your journal, define greatest common factor in your own words. Support your definition with two different examples. Include variables in one of your examples.

2. Homework Greatest Common Factor worksheet #34  1)  2)  3)  4)  5)  6)  7)  8)  9)  10)  11)  12)  13)  14)  15)  16)  17)  18)  19)  20)

3. Objective  SWBAT solve polynomial equations

4. Section 9.4 “Solve Polynomial Equations in Factored Form” If ab = 0, then a = 0 or b = 0. The zero-product property is used to solve an equation when one side of the equation is ZERO and the other side is the product of polynomial factors. (x – 4)(x + 2) = 0 Zero-Product Property The solutions of such an equation are called ROOTS. x – 4 = 0 x + 2 = 0 x = 4 x = -2

5. Solve the equations (x – 5)(x + 1) = 0 x – 5 = 0 x + 1 = 0 x = 5 x = -1 (2x – 3)(4x + 1) = 0 2x – 3 = 0 4x + 1 = 0 x = 3/2 x = -1/4

6. “Solving Equations By Factoring” Look for common terms 2x² + 8x = 0 When using the zero-product property, sometimes you may need to factor the polynomial, or write it as a product of other polynomials. Look for the greatest common factor (GCF) of the polynomial’s terms. GCF- the monomial that divides evenly into EACH term of the polynomial. GCF

7. Solve Equations By Factoring 2x = 0 x + 4 = 0 x = 0 x = -4 2x² + 8x = 0 2x(x + 4) = 0 Factor left side of equation Zero product property The solutions of the equation are 0 and -4.

8. Solve Equations By Factoring 3x = 0 2x - 5 = 0 x = 0 x = 5/2 6x² - 15x = 0 3x(2x - 5) = 0 Factor left side of equation Zero product property The solutions of the equation are 0 and 5/2.

9. Solve Equations By Factoring 14p = 0 3p + 1 = 0 p = 0 p = -1/3 42p² + 14p = 0 14p(3p + 1) = 0 Factor left side of equation Zero product property The solutions of the equation are 0 and -1/3. 42p² = -14p Bring all variables to one side

10. Factor Challenge

11. Homework Text p. 578, #4-48 multiples of 4 NJASK7 Prep