# Factoring trinomials

Find 16 different values for "b" that would make the following trinomial into two binomials:

6x^2+bx-10

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:36 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/working-with-factoring-trinomials-2596

#### Solution Preview

The best way to approach this problem, since the coefficient on the quadratic term is not one, is by grouping.

It works like this:

Consider the trinomial: ax^2 + bx + c

We want to satisfy two conditions:

1)find numbers whose product is ac and

2)whose sum is b

Let's call these numbers d and e.

We can then rewrite the original problem as: ...

#### Solution Summary

This shows how to turn a trinomial into binomials.

$2.49