Factor. k^2 + 18k + 17 ____

Identify b and c: Identify b and c in the quadratic expression k^2 + 18k + 17. Compare k^2 + 18k + 17 with the standard quadratic form x^2 + bx + c. Here, b = 18 and c = 17.Find factors of c: Find two numbers whose product is c = 17 and whose sum is b = 18. Since 17 is a prime number, the only factors of 17 are 1 and 17 itself. Check if these factors add up to 18: 1 + 17 = 18.Write factored form: Write the factored form using the two numbers found in Step 2. The factored form is (k + 1)(k + 17).

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Factor. $\newline$ $k^2 + 18k + 17$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

k^2 + 18k + 17

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 18k + 17$ . Compare $k^2 + 18k + 17$ with the standard quadratic form $x^2 + bx + c$ . Here, $b = 18$ and $c = 17$ .
Find factors of $c$ : Find two numbers whose product is $c = 17$ and whose sum is $b = 18$ . $\newline$ Since $17$ is a prime number, the only factors of $17$ are $1$ and $17$ itself. $\newline$ Check if these factors add up to $18$ : $1 + 17 = 18$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form is $(k + 1)(k + 17)$ .