Factor quadratic expressions

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Learn it First take out any common factor. For $x^2 + bx + c$, find two numbers that multiply to c and add to b. A difference of squares factors as $a^2 - b^2 = (a - b)(a + b)$.

Example: Factor $x^2 - x - 12$.

Numbers that multiply to −12 and add to −1: −4 and 3.
$(x - 4)(x + 3)$.
Check by expanding: $x^2 + 3x - 4x - 12$ ✓

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