Factor a quadratic by finding two factors whose product recreates its coefficients.
Factoring Trinomials Calculator
Enter the coefficients
Results
Factoring Trinomials
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Table of Contents
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What is Factoring Trinomials?
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How to Use This Calculator
- Enter or select a, b, c.
- 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 |
|---|---|
| a | A value or coefficient in the formula above; keep the displayed position and sign. |
| b | A value or coefficient in the formula above; keep the displayed position and sign. |
| c | A value or coefficient in the formula above; keep the displayed position and sign. |
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Worked Example
x² + 5x + 6 = (x+2)(x+3).
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Why Use This Calculator?
Turn an expanded quadratic into factors that make its zeros easier to see.
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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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