Warm Up Factor the following: a) b)

Factoring Polynomials (cont’d) Lesson 6 Factoring Polynomials (cont’d)

Factoring a Polynomial Methods 1) Common Factor 2) Grouping 3) Difference of Squares 4) Perfect Square Trinomials 5) Product & Sum √ √ √ √

Product & Sum Method This method can be used to factor a second degree trinomial only Step 1: Identify the coefficients a, b, & c Step 2: Find two integers m & n such that: mn = ac m+n = b Step 3: Change ax2 + bx + c to ax2 + mx + nx + c Step 4: Factor by grouping

Product & Sum Method a= b= c= Ex.1 Factor Step 1: Step 2: Step 3: Change equation a= b= c=

Product & Sum Method Ex. 1 Factor Step 4: Factor by grouping

Product & Sum Method a= b= c= Ex. 2 Factor Step 1: Step 2: Step 3: Change equation a= b= c=

Product & Sum Method Ex. 2 Factor Step 4: Factor by grouping

Product & Sum Method Ex. 3 Factor:

Product & Sum Method Ex. 4 Factor:

Product & Sum Method Ex. 5 Factor:

Homework Workbook P. 21 #15 P. 22 #18 & 19