Factor. p^2 + 6p + 8 ______

Identify a, b, c: Identify a, b, and c in the quadratic expression p^2 + 6p + 8. The quadratic expression is in the form ap^2 + bp + 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 need to find two numbers that multiply to 8 and add up to 6. The numbers 2 and 4 satisfy these conditions because: 2 * 4 = 8 (product is c) 2 + 4 = 6 (sum is b)Write factored form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (p + 2)(p + 4), because: (p + 2)(p + 4) = p^2 + 4p + 2p + 8 = p^2 + 6p + 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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p^2 + 6p + 8

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $p^2 + 6p + 8$ . $\newline$ The quadratic expression is in the form $ap^2 + bp + c$ , 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 need to find two numbers that multiply to $8$ and add up to $6$ . The numbers $2$ and $4$ satisfy these conditions because: $\newline$ $2 \times 4 = 8$ (product is $c$ ) $\newline$ $8$ $0$ (sum is $b$ )
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(p + 2)(p + 4)$ , because: $\newline$ $(p + 2)(p + 4) = p^2 + 4p + 2p + 8 = p^2 + 6p + 8$