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Factor.

s^(2)+10 s+21

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

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Factor quadratics with leading coefficient 1

Full solution

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: $(s + 3)(s + 7)$

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