Math Solver

Verified rational factors

Factoring Calculator

Turn a supported polynomial into exact linear factors, then expand them through a separate verification path before trusting the result.

Factor in the workspaceSee the boundary
Status
Verified
Maximum degree
2
Coefficient domain
Rational numbers
Independent check
Exact expansion

Factoring reverses expansion

A factorization is accepted only when multiplying the displayed factors returns the original polynomial exactly. Decimal guesses are not used.

Monic quadratic

x2−5x+6x^2-5x+6(x−2)(x−3)(x-2)(x-3)

Non-monic and repeated factors

2x2+5x+2=(x+2)(2x+1)2x^2+5x+2=(x+2)(2x+1) rac12y^2- rac12y+ rac18= rac18(2y-1)^2

Current limitations

  • One variable and degree two or lower.
  • Factors over the rational numbers, not the complex numbers.
  • Equations should use Solve / simplify; Factor accepts expressions.
  • Multivariable and higher-degree factoring remain unsupported.

Questions

Factoring calculator FAQ

What can the factoring calculator factor?

It factors typed one-variable linear and quadratic polynomial expressions with exact rational coefficients.

What happens when a quadratic does not factor over the rationals?

Math Solver labels it irreducible over the rational numbers instead of inventing integer or decimal factors.

Does it check the factors?

Yes. A separate symbolic path expands the returned product and requires exact identity with the original polynomial before the result is marked Verified.