Factor. q^2 + 6q + 8 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression q^2 + 6q + 8. The quadratic expression is in the form q^2 + bq + c, where a = 1, b = 6, and c = 8.Find two numbers: Find 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 Step 2. The factored form of the quadratic expression is (q + 2)(q + 4), because these two binomials multiply to give the original quadratic expression q^2 + 6q + 8.

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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q^2 + 6q + 8

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $q^2 + 6q + 8$ . $\newline$ The quadratic expression is in the form $q^2 + bq + c$ , where $a = 1$ , $b = 6$ , and $b$ $0$ .
Find two numbers: Find two numbers that multiply to $c$ ( $8$ ) and add up to $b$ ( $6$ ). $\newline$ 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 Step $2$ . $\newline$ The factored form of the quadratic expression is $(q + 2)(q + 4)$ , because these two binomials multiply to give the original quadratic expression $q^2 + 6q + 8$ .