Factor. k^2 + 6k + 8 ______

Identify coefficients: Identify the coefficients a, b, and c in the quadratic expression k^2 + 6k + 8. The quadratic expression is in the form of ak^2 + bk + c, where a = 1, b = 6, and c = 8.Find two numbers: Determine two numbers that multiply to c (8) and add up to b (6). We need to find two numbers that when multiplied give us 8 and when added give us 6. The numbers 2 and 4 satisfy these conditions because 2 * 4 = 8 and 2 + 4 = 6.Write factored form: Write the factored form using the two numbers found in the previous step. The factored form of the quadratic expression is (k + 2)(k + 4).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 6k + 8

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic expression $k^2 + 6k + 8$ . The quadratic expression is in the form of $ak^2 + bk + c$ , where $a = 1$ , $b = 6$ , and $c = 8$ .
Find two numbers: Determine two numbers that multiply to $c$ ( $8$ ) and add up to $b$ ( $6$ ). We need to find two numbers that when multiplied give us $8$ and when added give us $6$ . The numbers $2$ and $4$ satisfy these conditions because $2 \times 4 = 8$ and $2 + 4 = 6$ .
Write factored form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression is $(k + 2)(k + 4)$ .