Factor. g^2 + 6g + 8 ____

Identify a, b, c: Identify a, b, and c in the quadratic expression g^2 + 6g + 8. The quadratic expression is in the standard form ag^2 + bg + c, where a = 1, b = 6, and c = 8.Find two numbers: Find two numbers that multiply to c (which is 8) and add up to b (which is 6). We are looking for two numbers that multiply to 8 and add up to 6. The numbers 2 and 4 meet these criteria 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 (g + 2)(g + 4), because when multiplied out, it gives the original expression g^2 + 6g + 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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g^2 + 6g + 8

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $g^2 + 6g + 8$ . $\newline$ The quadratic expression is in the standard form $ag^2 + bg + c$ , where $a = 1$ , $b = 6$ , and $b$ $0$ .
Find two numbers: Find two numbers that multiply to $c$ (which is $8$ ) and add up to $b$ (which is $6$ ). $\newline$ We are looking for two numbers that multiply to $8$ and add up to $6$ . The numbers $2$ and $4$ meet these criteria 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 $(g + 2)(g + 4)$ , because when multiplied out, it gives the original expression $g^2 + 6g + 8$ .