Posted by **Austin** on Thursday, October 4, 2012 at 12:52pm.

Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.

- Algebra....HELP!! -
**Henry**, Friday, October 5, 2012 at 6:54pm
Factor x^2 + 5x + 6

C = 6 = 1*6 = 2*3.

Select the pair of factors whose sum equals B which is 5.

We select 2 and 3, because their sum = 5.

Solution: (x+2)(x+3).

The solution can be checked by performing the multiplication and

combining like-terms.

Factor 2x^2 + 11x + 12.

This and the previous example can be done by trial and error, but the process can be tedious and very frustrating.

We'll use the AC Method:

A*C = 2 * 12 = 24 = 3*8 = 4*3.

We select the pair of factors whose sum = B(11). Therfore, we select 3 and 8.

2x^2 + (3x+8x) + 12

Arrange the 4 terms into two factorable binomials:

(2x^2+3x) + (8x+12)

x(2x+3) + 4(2x+3)

(2x+3)(x+4).

I hope this helps.

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