Factor. k^2 + 8k + 12 ____

Identify b and c: Identify b and c in the quadratic expression k^2 + 8k + 12. Compare k^2 + 8k + 12 with the standard quadratic form x^2 + bx + c. Here, b = 8 and c = 12.Find product and sum: Find two numbers whose product is c (12) and whose sum is b (8). We need to find two numbers that multiply to 12 and add up to 8. The numbers 2 and 6 satisfy these conditions because: 2 * 6 = 12 (product is c) 2 + 6 = 8 (sum is b)Write factored form: Write the factored form using the two numbers found in Step 2. The quadratic expression can be factored as (k + 2)(k + 6).

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Factor. $\newline$ $k^2 + 8k + 12$

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Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 8k + 12

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 8k + 12$ . Compare $k^2 + 8k + 12$ with the standard quadratic form $x^2 + bx + c$ . Here, $b = 8$ and $c = 12$ .
Find product and sum: Find two numbers whose product is $c (12)$ and whose sum is $b (8)$ . We need to find two numbers that multiply to $12$ and add up to $8$ . The numbers $2$ and $6$ satisfy these conditions because: $2 \times 6 = 12$ (product is $c$ ) $2 + 6 = 8$ (sum is $b$ )
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The quadratic expression can be factored as $(k + 2)(k + 6)$ .