Alg I
posted by Jane .
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.

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 = (2n1)(2n+3)