Factor Quadratics Instantly
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Reverse FOILing
Enter any quadratic trinomial and decompose it step-by-step back into its original binomial factors.
Type a quadratic expression — e.g. x² - 2x - 15 or 2x² + 7x + 3
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Math Theory
What is Reverse FOILing?
Reverse FOILing is the process of factoring a quadratic trinomial of the form ax² + bx + c back into two binomial factors (dx + e)(fx + g).
It involves finding two numbers that multiply to a · c and add up to b. This allows you to split the middle term and factor by grouping.
It is called 'reverse' FOILing because multiplying the resulting binomials using the FOIL method returns the original trinomial.
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