Factoring Calculator
Factor any quadratic expression or polynomial into its prime factors with step-by-step explanation.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator factors quadratic expressions (like x² + 5x + 6) into linear factors over real numbers.
- Enter the expression in the input field. Use the format:
ax² + bx + c. Examples:x²+5x+62x²-4xx²-9-x²+3x-2
- Click the "Factor" button to compute the result.
- View the result — the factored form appears in green, with step-by-step explanation below.
- If the expression cannot be factored over real numbers (negative discriminant), an error message will appear.
Note: The calculator only works with quadratic expressions (degree 2) in one variable (x). Use ^ for exponentiation (e.g., x^2). Coefficients must be integers.
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Frequently Asked Questions
It can factor quadratic expressions of the form ax^2+bx+c (including missing terms) into linear factors over real numbers. It also handles simple cases like x^2-9 or 2x^2-4x.
The calculator uses the quadratic formula to find roots and then expresses the quadratic as a(x - r1)(x - r2). If the discriminant is negative, it indicates that the expression cannot be factored over real numbers.
Yes, but the coefficients must be integers. The calculator will provide approximate decimal roots if the factors are not integers.
