Factor. k^2 + 24k + 23 ____

Identify b and c: Identify b and c in the quadratic expression k^2 + 24k + 23. Compare k^2 + 24k + 23 with the standard quadratic form x^2 + bx + c. b = 24 c = 23Find factors of c: Find two numbers whose product is c (23) and whose sum is b (24). Since 23 is a prime number, the only pair of factors that multiply to 23 are 1 and 23. Check if they add up to 24: 1 * 23 = 23 1 + 23 = 24 The two numbers are 1 and 23.Write factored form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (k + 1)(k + 23).

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Factor. $\newline$ $k^2 + 24k + 23$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 24k + 23

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 24k + 23$ . Compare $k^2 + 24k + 23$ with the standard quadratic form $x^2 + bx + c$ . $b = 24$ $c = 23$
Find factors of $c$ : Find two numbers whose product is $c (23)$ and whose sum is $b (24)$ . $\newline$ Since $23$ is a prime number, the only pair of factors that multiply to $23$ are $1$ and $23$ . $\newline$ Check if they add up to $24$ : $\newline$ $1 \times 23 = 23$ $\newline$ $1 + 23 = 24$ $\newline$ The two numbers are $1$ and $23$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(k + 1)(k + 23)$ .