Factor a quadratic by finding two factors whose product recreates its coefficients.
Reverse FOIL Calculator
Form
Results
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Table of Contents
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What is Reverse FOIL?
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How to Use This Calculator
- Enter or select First coefficient, Second coefficient, Third coefficient.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
x²+(p+q)x+pq = (x+p)(x+q)
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Variables Explained
| Input | What it means |
|---|---|
| First coefficient | Use the measured or stated value for this item, with the unit or category shown beside the field. |
| Second coefficient | Use the measured or stated value for this item, with the unit or category shown beside the field. |
| Third coefficient | Use the measured or stated value for this item, with the unit or category shown beside the field. |
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Worked Example
x² + 5x + 6 = (x+2)(x+3).
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Why Use This Calculator?
Check whether two binomial factors reproduce a quadratic’s coefficients.
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Common Mistakes
- Not every trinomial has integer factors. Multiply the factors back out to check the answer.
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Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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