Smart Math guide · Algebra Smarts

Factor Simple Quadratic Trinomials

For x²+bx+c, look for two numbers whose sum is b and product is c.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. List factor pairs of c.
  2. Find the pair whose sum is b.
  3. Write (x+m)(x+n).
Worked example

See it in action

x²+7x+12 → 3 and 4 → (x+3)(x+4).

Check your thinking

How to verify it

Expand to recover x²+7x+12.

Watch out

Common mistake

For leading coefficients other than 1, use a more general factoring method.