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Factoring Calculator

Factor any quadratic trinomial ax² + bx + c over the integers and rationals — see the factored form, the roots, the discriminant, the product a·c, and the full ac-method working with a live parabola graph.

Standard form:  ax2 + bx + c
a x2 + b x + c

a can't be 0 (that would make it linear). Use whole numbers for clean factoring; negatives are fine.

Results

Factored form
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Roots (x)
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Discriminant (b²−4ac)
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Product a·c
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Graph

Parabolax-interceptsVertex

Step-by-step (the ac-method)