Factor. m^2 + 10m + 16 ____

Identify Variables: Identify a, b, and c in the quadratic expression m^2 + 10m + 16. Compare m^2 + 10m + 16 with the standard quadratic form ax^2 + bx + c. Here, a = 1, b = 10, and c = 16.Find Product and Sum: Find two numbers that multiply to a*c (which is 16, since a = 1) and add up to b (which is 10). We need to find two numbers whose product is 16 and sum is 10. 4 * 4 = 16 and 4 + 4 = 8, which is not correct. 2 * 8 = 16 and 2 + 8 = 10, which is correct. The two numbers are 2 and 8.Write Factored Form: Write the factored form using the two numbers found in Step 2. The quadratic expression can be factored as (m + 2)(m + 8).

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Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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m^2 + 10m + 16

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $m^2 + 10m + 16$ . Compare $m^2 + 10m + 16$ with the standard quadratic form $ax^2 + bx + c$ . Here, $a = 1$ , $b = 10$ , and $c = 16$ .
Find Product and Sum: Find two numbers that multiply to $a*c$ (which is $16$ , since $a = 1$ ) and add up to $b$ (which is $10$ ). $\newline$ We need to find two numbers whose product is $16$ and sum is $10$ . $\newline$ $4 \times 4 = 16$ and $4 + 4 = 8$ , which is not correct. $\newline$ $2 \times 8 = 16$ and $16$ $0$ , which is correct. $\newline$ The two numbers are $16$ $1$ and $16$ $2$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The quadratic expression can be factored as $(m + 2)(m + 8)$ .