Factor. k^2 + 12k + 11 ____

Identify b and c: Identify b and c in the quadratic expression k^2 + 12k + 11. Compare k^2 + 12k + 11 with the standard quadratic form x^2 + bx + c. b = 12 c = 11Compare with standard form: Find two numbers whose product is c (11) and whose sum is b (12). We need to find two integers m and n such that: m * n = 11 m + n = 12 Since 11 is a prime number, the only pair of factors that multiply to 11 are 11 and 1. Checking the sum: 11 + 1 = 12 The numbers 11 and 1 satisfy both conditions.Find product and sum: Write the quadratic expression in its factored form using the numbers found in Step 2. The factored form is: (k + 11)(k + 1)

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Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 12k + 11

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 12k + 11$ . Compare $k^2 + 12k + 11$ with the standard quadratic form $x^2 + bx + c$ . $b = 12$ $c = 11$
Compare with standard form: Find two numbers whose product is $c (11)$ and whose sum is $b (12)$ . We need to find two integers $m$ and $n$ such that: $m \times n = 11$ $m + n = 12$ Since $11$ is a prime number, the only pair of factors that multiply to $11$ are $11$ and $1$ . Checking the sum: $b (12)$ $0$ The numbers $11$ and $1$ satisfy both conditions.
Find product and sum: Write the quadratic expression in its factored form using the numbers found in Step $2$ . $\newline$ The factored form is: $\newline$ $(k + 11)(k + 1)$