SOLUTION: Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by mean
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Question 180922This question is from textbook
: Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by means of an example. Discuss which is the best
approach and why.
Thank You
Denise
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Explain how to factor a polynomial of thw form ax^2+bx=c when a is not
equal to 1. Describe both the grouping approach as well as reversing FOIL.
Contrast the two methods by means of an example. Discuss which is the best
approach and why.
----------------------------------
The FOIL process results in a trinomial when the "O" and the "I"
products are "like" terms and can be combined.
-----------------------------------------
The inverse operation takes a middle term of a trinomial and breaks
it into two terms that allow for common factorization.
-------------------------------------------
Example: 2x^2 + 7x + 6
AC = 12
B = 7
---------
Think of 2 numbers whose product is AC and whose sum is B
The numbers are 3 and 4.
Break the middle term into 3x+4x then find a common factor as follows:
----------------
2x^2 + 3x + 4x + 6
x(2x+3) + 2(x+3)
(x+3)(x+2)
================
Cheers,
Stan H.
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