Factor. m^2 + 11m + 18 ____

Identify Variables: Identify a, b, and c in the quadratic expression m^2 + 11m + 18. The quadratic expression is in the form of ax^2 + bx + c, where a = 1, b = 11, and c = 18.Find Multiplying Numbers: Find two numbers that multiply to c (18) and add up to b (11). We need to find two numbers that multiply together to give 18 and when added together give 11. The numbers 2 and 9 satisfy these conditions because 2 * 9 = 18 and 2 + 9 = 11.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 + 9), because these two binomials multiply out to the original quadratic expression m^2 + 11m + 18.

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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 + 11m + 18

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $m^2 + 11m + 18$ . The quadratic expression is in the form of $ax^2 + bx + c$ , where $a = 1$ , $b = 11$ , and $c = 18$ .
Find Multiplying Numbers: Find two numbers that multiply to $c$ ( $18$ ) and add up to $b$ ( $11$ ). $\newline$ We need to find two numbers that multiply together to give $18$ and when added together give $11$ . The numbers $2$ and $9$ satisfy these conditions because $2 \times 9 = 18$ and $2 + 9 = 11$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(m + 2)(m + 9)$ , because these two binomials multiply out to the original quadratic expression $m^2 + 11m + 18$ .