Factor. m^2 + 8m + 12 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression m^2 + 8m + 12. The quadratic expression is in the form of ax^2 + bx + c, where a = 1, b = 8, and c = 12.Find two numbers: Find two numbers that multiply to c (12) and add up to b (8). We need to find two numbers that when multiplied give us 12 and when added give us 8. The numbers 2 and 6 satisfy these conditions because 2 * 6 = 12 and 2 + 6 = 8.Write factored form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (m + 2)(m + 6), because these two binomials multiply to give the original quadratic expression.

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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m^2 + 8m + 12

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $m^2 + 8m + 12$ . $\newline$ The quadratic expression is in the form of $ax^2 + bx + c$ , where $a = 1$ , $b = 8$ , and $b$ $0$ .
Find two numbers: Find two numbers that multiply to $c$ ( $12$ ) and add up to $b$ ( $8$ ). $\newline$ We need to find two numbers that when multiplied give us $12$ and when added give us $8$ . The numbers $2$ and $6$ satisfy these conditions because $2 \times 6 = 12$ and $2 + 6 = 8$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(m + 2)(m + 6)$ , because these two binomials multiply to give the original quadratic expression.