Factoring Trinomials Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSA.SSE.A.2Answer key includedPDF · Print

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Easy: x² + bx + c, positive numbers

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Worksheet variations

For x² + bx + c, find two numbers that multiply to c and add to b. When a isn't 1, find two numbers that multiply to ac and add to b, split the middle term, and factor by grouping.

Easyx² + bx + c, positive numbers Mediumx² + bx + c with negatives Hardax² + bx + c

How to solve it: a worked example

Factor completely.

Start
Find two numbers that multiply to 54 and add to 15
Write the factors
Answer

Common mistakes to watch for

Finding numbers that multiply to c but don't add to b.
Mixing up the signs when c is negative: one factor is positive and one is negative.
Stopping before checking: multiplying the factors back should give the trinomial.

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