SOLUTION: Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help, i dont understand

Question 155371This question is from textbook elementary and intermediate algebra
: Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help, i dont understand this at all.. This question is from textbook elementary and intermediate algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help,
-----------------
Example:
x^2 + 5x + 6
Think of two numbers whose product is 6 and whose sum is 5
The numbers are 3 and 2
---------------------------
Rewrite the equation replacing 5x by 3x+2x to get:
x^2 + 3x + 2x + 6
----------
Factor the 1st two and the last two terms separately to get:
x(x+3)+ 2(x+3)
Factor again to get:
(x+3)(x+2)
-----------------
That is an example of "inverse FOIL"; it is also sometimes
called "the AC Method of factoring".

================================
Cheers,
Stan H.
RELATED QUESTIONS
Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax2 (answered by Edwin McCravy)

Explain how to reverse FOIL when factoring a polynomial of the form ax+bx+c when a=1.... (answered by Mathtut)

Explain how to reverse FOIL, when factoring a polynomial of the form ax^2 + bx + c.When... (answered by checkley77)

please explain how to reverse the FOIL method when factoring a polynomial of the form... (answered by scott8148)

Please explain how to reverse FOIL when factoring a polynomial of the form ax(squared) +... (answered by stanbon,Fombitz)

1. Could you help me out here... I want someone to explain to me how to reverse FOIL when (answered by checkley77)

Hello can you please help me with this problem I have to do it over a few times. Thank... (answered by rapaljer)

Explain how to factor a polynomial of the form ax^2+bx+c when a is not equal to 1.... (answered by Mathtut)

Explain how to factor a polynomial of thw form ax^2+bx=c when a is not equal to 1.... (answered by stanbon)