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Factoring Calculator

Factoring Calculator

Factor quadratic expressions ax² + bx + c into linear factors. Get the factored form and roots.

Math

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Coefficient a

Coefficient b

Coefficient c

Formula

Factor a quadratic expression ax² + bx + c into its linear factors. For example, x² − 3x + 2 = (x − 1)(x − 2).

ax² + bx + c = a(x − r₁)(x − r₂)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter coefficients a, b, and c.
2Click Calculate to factor.
3The result shows the factored form and the roots.

Examples

Factor x² − 3x + 2

1.Enter a=1, b=-3, c=2.
2.Find roots: (3 ± √1)/2 = 2 and 1.
3.Factored: (x−1)(x−2).

Result: 1(x − 1.00)(x − 2.00)

Factor x² + 5x + 6

1.Enter a=1, b=5, c=6.
2.Find roots: (-5 ± √1)/2 = -2 and -3.
3.Factored: (x+2)(x+3).

Result: 1(x + 2.00)(x + 3.00)

Frequently Asked Questions

Factoring rewrites a quadratic as a product of two linear expressions. For example, x² − 3x + 2 = (x−1)(x−2).

If the discriminant is negative, the quadratic has no real factors. It cannot be factored using real numbers.

The calculator handles any value of a. For example, 2x² − 4x − 6 = 2(x−3)(x+1).

The roots are the x-values where the expression equals zero. They are shown alongside the factored form.

This calculator only factors quadratic (degree 2) expressions. Use the Polynomial Roots calculator for higher degrees.

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CalculateMe Team

Last updated: 2026-07-13

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Factoring Calculator - Factor Quadratic Expressions | CalculateMe | CalculateMe