Find 16 different values for "b" that would make the following trinomial into two binomials:
6x^2+bx-10© BrainMass Inc. brainmass.com December 24, 2021, 4:42 pm ad1c9bdddf
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: ...
This shows how to turn a trinomial into binomials.