Find factor k^2 + 9k + 18

Identify b and c: Identify b and c in the quadratic expression k^2 + 9k + 18. Compare k^2 + 9k + 18 with the standard quadratic form ax^2 + bx + c. Here, b = 9 and c = 18.Find product and sum: Find two numbers whose product is c (18) and whose sum is b (9). We need to find two numbers that multiply to 18 and add up to 9. The numbers 3 and 6 satisfy these conditions because 3 * 6 = 18 and 3 + 6 = 9.Write factored form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (k + 3)(k + 6).

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Find factors: $\newline$ $k^2 + 9k + 18$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Find factors:

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k^2 + 9k + 18

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 9k + 18$ . Compare $k^2 + 9k + 18$ with the standard quadratic form $ax^2 + bx + c$ . Here, $b = 9$ and $c = 18$ .
Find product and sum: Find two numbers whose product is $c (18)$ and whose sum is $b (9)$ . We need to find two numbers that multiply to $18$ and add up to $9$ . The numbers $3$ and $6$ satisfy these conditions because $3 \times 6 = 18$ and $3 + 6 = 9$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(k + 3)(k + 6)$ .