Factoring Trinomials
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The following videos will illustrate how to factor trinomials.
Factoring Trinomials - with no guessing Factoring Trinomials - with guessing
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
More Lessons for Algebra
Math Worksheets
To factor a trinomial means to write the trinomial as a product of two factors. It is the reverse of expansion (FOIL).
Example :
In order to factor the trinomial,
we need to find two constants p and q such that:
Now, if we expand the RHS we will get:
Comparing coefficients, we get:
So, b = p + q and c = pq.
In other words, we need to find two constants p and q such that their sum p + q = b and their product pq = c.
Factoring Trinomials - with no guessing Factoring Trinomials - with guessing
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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