Factor. v^2 + 5v + 6 ____

Identify coefficients: Identify the coefficients a, b, and c in the quadratic expression v^2 + 5v + 6. The quadratic expression is in the form av^2 + bv + c, where a = 1, b = 5, and c = 6.Find two numbers: Find two numbers that multiply to c (6) and add up to b (5). The numbers 2 and 3 multiply to 6 (2 * 3 = 6) and add up to 5 (2 + 3 = 5).Write factored form: Write the factored form using the two numbers found in the previous step. The factored form of the quadratic expression is (v + 2)(v + 3).

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Factor. $\newline$ $v^2 + 5v + 6$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

v^2 + 5v + 6

Identify coefficients: Identify the coefficients $a$ , $b$ , and $c$ in the quadratic expression $v^2 + 5v + 6$ . The quadratic expression is in the form $av^2 + bv + c$ , where $a = 1$ , $b = 5$ , and $c = 6$ .
Find two numbers: Find two numbers that multiply to $c$ ( $6$ ) and add up to $b$ ( $5$ ). The numbers $2$ and $3$ multiply to $6$ ( $2 \times 3 = 6$ ) and add up to $5$ ( $2 + 3 = 5$ ).
Write factored form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression is $(v + 2)(v + 3)$ .