Algebra

Factoring Calculator

Factor simple quadratic trinomials with integer coefficients and see the pair of numbers used in the factorization.

Factor ax^2 + bx + c

Answer
(x - 3)(x - 2)
  1. Original: x^2 - 5x + 6
  2. Factored form: (x - 3)(x - 2)

How to use the factoring calculator

This factoring calculator focuses on school-level quadratic trinomials. It looks for integer factors when possible and explains the pattern.

  1. Enter coefficients a, b, and c.
  2. The calculator searches for integer factors.
  3. If a simple factorization exists, it displays the factored form.

Formula or method

For x^2 + bx + c, find p and q where p + q = b and pq = c, then factor as (x + p)(x + q).

Worked examples

Factor a trinomial

Problem: x^2 - 5x + 6

Solution: Find -2 and -3, so the factorization is (x - 2)(x - 3).