Factor. k^2 + 10k + 21 ____

Identify b and c: Identify b and c in the quadratic expression k^2 + 10k + 21. Compare k^2 + 10k + 21 with the standard quadratic form x^2 + bx + c. Here, b = 10 and c = 21.Find two numbers: Find two numbers whose product is 21 (the value of c) and whose sum is 10 (the value of b). The numbers that satisfy these conditions are 3 and 7, because: 3 * 7 = 21 and 3 + 7 = 10.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 + 7).

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Factor. $\newline$ $k^2 + 10k + 21$

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Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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k^2 + 10k + 21

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $k^2 + 10k + 21$ . Compare $k^2 + 10k + 21$ with the standard quadratic form $x^2 + bx + c$ . Here, $b = 10$ and $c = 21$ .
Find two numbers: Find two numbers whose product is $21$ (the value of $c$ ) and whose sum is $10$ (the value of $b$ ). $\newline$ The numbers that satisfy these conditions are $3$ and $7$ , because: $\newline$ $3 \times 7 = 21$ and $3 + 7 = 10$ .
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(k + 3)(k + 7)$ .