Question

what is the factored binomial from the trinomial x^2+x-12?

Answer 1

what can multiply to make 12
4 and 3
6 and 2
1 and 12
which one when you subtract would give you either 1 or -1?

Answer 2

subtract each pair, for ex
4-3
6-2
1-12

Answer 3

4-3 =1 which the same as the middle factor 1*x. let's try 4 and 3 as our factor
(x+4)(x-3)

Now check if it's correct
(x+4)(x-3)
=x^2 +4x -3x -12
= x^2 + x -12

Checked.

Answer 4

thanks