Factor. v^2 + 5v + 4 ____

Identify Variables: Identify a, b, and c in the quadratic expression v^2 + 5v + 4. The quadratic expression is in the standard form av^2 + bv + c, where a = 1, b = 5, and c = 4.Find Two Numbers: Find two numbers that multiply to c (which is 4) and add up to b (which is 5). The two numbers that satisfy these conditions are 1 and 4 because: 1 * 4 = 4 (which is c) 1 + 4 = 5 (which is b)Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression is (v + 1)(v + 4).

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Factor. $\newline$ $v^2 + 5v + 4$

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

v^2 + 5v + 4

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $v^2 + 5v + 4$ . The quadratic expression is in the standard form $av^2 + bv + c$ , where $a = 1$ , $b = 5$ , and $c = 4$ .
Find Two Numbers: Find two numbers that multiply to $c$ (which is $4$ ) and add up to $b$ (which is $5$ ). $\newline$ The two numbers that satisfy these conditions are $1$ and $4$ because: $\newline$ $1 \times 4 = 4$ (which is $c$ ) $\newline$ $1 + 4 = 5$ (which is $b$ )
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(v + 1)(v + 4)$ .