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Factor. $\newline$ $m^2 + 5m + 4$

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Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

m^2 + 5m + 4

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $m^2 + 5m + 4$ . $\newline$ The quadratic expression is in the form of $ax^2 + bx + c$ . Here, $a = 1$ , $b = 5$ , and $b$ $0$ .
Find two numbers: Find two numbers that multiply to $c (4)$ and add up to $b (5)$ . We need to find two numbers that when multiplied give us $4$ and when added give us $5$ . The numbers $1$ and $4$ satisfy these conditions because $1 \times 4 = 4$ and $1 + 4 = 5$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression will be $(m + 1)(m + 4)$ , because these factors will multiply to give the original quadratic expression.

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