Factoring Calculator
Factoring writes a polynomial as a product of simpler polynomials. For quadratics, factors correspond to the roots.
Type a quadratic such as x^2 - 5x + 6. The calculator finds the roots, then writes the matching factors.
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Example problems
How this solver works
- Find the roots.
- Write a(x − r)(x − s).
- You can expand to check.
Formula
r and s are the roots.
Worked examples
x^2 - 5x + 6
- Roots 2 and 3
- (x-2)(x-3)
Answer: (x-2)(x-3)
Common mistakes
Wrong constant signs
If the constant term is positive and the middle term is negative, both binomials usually have minus signs.
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Frequently asked questions
Does factoring always work over the reals?
Irreducible quadratics over the reals do not factor into real binomials. The discriminant tells you.