Identify b and c: Identify b and c in the quadratic expression k^2 + 7k + 10, comparing it to the standard form x^2 + bx + c. b = 7, c = 10Find two numbers: Find two numbers whose product is 10 and sum is 7. 5 * 2 = 10, 5 + 2 = 7 Two numbers: 5, 2Write factored form: Write the factored form using the numbers found. Factored form: (k + 5)(k + 2)

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Factor. $\newline$ $k^{2}+7 k+10$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

k^{2}+7 k+10

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 7k + 10$ , comparing it to the standard form $x^2 + bx + c$ . $\newline$ $b = 7$ , $c = 10$
Find two numbers: Find two numbers whose product is $10$ and sum is $7$ . $\newline$ $5 \times 2 = 10$ , $5 + 2 = 7$ $\newline$ Two numbers: $5$ , $2$
Write factored form: Write the factored form using the numbers found. $\newline$ Factored form: $(k + 5)(k + 2)$