1. Factoring Shortcut
Look for two numbers that Multiply to 'c' and Add to 'b'.
For x² + 5x + 6: 2*3=6, 2+3=5.
So: (x+2)(x+3) = 0.
2. Check Your Work
Plug the answer back in! If x=2, does 2² + 5(2) + 6 = 0? (4+10+6 is not 0, wait, sign error?)
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