Posted by **Jane** on Monday, March 25, 2013 at 8:02pm.

Factoring ax^2 + bx + c

Find two different values that complete each expression so that the trinomial can be factored into the product of two binomials. Factor your trimonials.

4n^2+ __n - 3

Please explain and solve.

- Alg I -
**Reiny**, Monday, March 25, 2013 at 9:02pm
I multiplied the first and last to get -12

(4)(-3) = -12

now what factors give me -12 ?

could be 4, -3 or -4, 3 or 6, -2 or -6, 2

for each pair, their sum has to go in the middle, so

we could have:

4n^2 + n - 3

4n^2 -n - 4

4n^2 + 4n - 3

4n^2 - 4n - 3

each of these WILL factor

e.g.

4n^2 + 4n - 3 = (2n-1)(2n+3)

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