algebra · worked example

Solve x² + 7x + 12

Method: integer factoring. Verified step-by-step solution with our free AI math solver.
Problem

x2+7x+12x^2 + 7x + 12

Step-by-step solution

  1. Find two numbers multiplying to 1212 and adding to 77.

  2. List factor pairs of 1212: (1,12),(2,6),(3,4)(1, 12), (2, 6), (3, 4). The pair (3,4)(3, 4) adds to 77. ✓

  3. Write the factored form: (x+3)(x+4)(x + 3)(x + 4).

  4. Verify by FOIL: (x+3)(x+4)=x2+4x+3x+12=x2+7x+12(x+3)(x+4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12. ✓

Answer

(x+3)(x+4)(x + 3)(x + 4)

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