SOLUTION: Explain how to reverse FOIL when factoring a polynomial of the form ax+bx+c when a=1. Give an example with your explanation. Thank You Denise

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Explain how to reverse FOIL when factoring a polynomial of the form ax+bx+c when a=1. Give an example with your explanation. Thank You Denise      Log On


   

Question 180905This question is from textbook
: Explain how to reverse FOIL when factoring a polynomial of the form
ax+bx+c when a=1. Give an example with your explanation.
Thank You
Denise This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
ok a is given in our scenario
:
F is made up of highlight%281%29x multiplied by itself.
system%28O%2CI%29is made up of factors of c multiplied by 1x and combined
:
L is factors of c multiplied together
:
for example
:
1x%5E2%2B5x%2B6
:
F=1x*1x
O=highlight%282+or+3%29%2Ax
I=highlight%283+or+2%29%2Ax
L=highlight%282%29%2Ahighlight%283%29
:
meaning when you reverse FOIL that the first part of factors making up a polynomial of the type 1x%5E2%2Bbx%2Bc is 1x and the last part of the factors comes from factors of c, which when combined with x make up the coefficient of b.
:
hence the factors are (x+2)(x+3)