Explore BrainMass

Explore BrainMass

    Factoring trinomials

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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


    © BrainMass Inc. brainmass.com December 24, 2021, 4:42 pm ad1c9bdddf

    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.