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Factor. $\newline$ $p^2 - 3p - 4$

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Factor quadratics

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Q. Factor.

\newline

p^2 - 3p - 4

Identify factors of $-4$ : Identify the factors of $-4$ that add up to $-3$ . The factors are $-4$ and $+1$ because $-4 + 1 = -3$ .
Write expression: Write the expression as $p^2 - 4p + 1p - 4$ .
Group terms: Group the terms: $(p^2 - 4p) + (1p - 4)$ .
Factor out common factor: Factor out the common factor from each group: $p(p - 4) + 1(p - 4)$ .
Factor out common term: Since $(p - 4)$ is common, factor it out: $(p - 4)(p + 1)$ .

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