Math 10 Week 11

This week I will be teaching you how to factor an ugly polynomial. When I say an ugly polynomial it just means that the leading coefficient isn’t 1.

Ex. $6x^2$ + 7x +2

Step 1: Break down the leading coefficient, then start writing it out

6=2 x 3                                  (3x___)(2x___)

Step 2: Play around with the factors of the constant to find out the appropriate spot that will multiply and then add to 7.

*Th object is to get the middle term.

(3x + 2)(2x +1)                   *2 and 2x will multiply=4x        *3x and 1 will multiply= 3x

3x + 4x = 7x

Pictures below