Mathematics - Algebra - Factoring - Factoring trinomials - Factoring x²+bx+c
7 steps: (1) Factor x²+7x+12. We need two numbers that multiply to 12 AND add to 7. (2) List factor pairs of 12: (1,12), (2,6), (3,4). Which add to 7? 3+4=7! (3) Write: (x+3)(x+4). Check: FOIL gives x²+4x+3x+12 = x²+7x+12 ✓. (4) Negative constant: x²+2x-15. Need multiply=-15, add=2. Pairs of -15: (-