Factor. s^(2)+10 s+21

Identify Variables: Identify a, b, and c in the quadratic expression s^2 + 10s + 21. Compare s^2 + 10s + 21 with ax^2 + bx + c. a = 1, b = 10, c = 21 Find Product and Sum: Find two numbers whose product is 21 (a*c) and whose sum is 10 (b). Product: 1*21 = 21, Sum: 1+21 = 22 (wrong pair) Product: 3*7 = 21, Sum: 3+7 = 10 (correct pair) Write Factored Form: Write the factored form using the numbers found. Factored form: (s + 3)(s + 7)

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Factor. $\newline$ $s^{2}+10 s+21$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

s^{2}+10 s+21

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $s^2 + 10s + 21$ . Compare $s^2 + 10s + 21$ with $ax^2 + bx + c$ . $a = 1$ , $b = 10$ , $c = 21$
Find Product and Sum: Find two numbers whose product is $21$ $(a*c)$ and whose sum is $10$ $(b)$ . $\newline$ Product: $1*21 = 21$ , Sum: $1+21 = 22$ (wrong pair) $\newline$ Product: $3*7 = 21$ , Sum: $3+7 = 10$ (correct pair)
Write Factored Form: Write the factored form using the numbers found. $\newline$ Factored form: $(s + 3)(s + 7)$