Factor. 4v^2 + 48v + 80 ____

Identify Common Factor: First, look for a common factor in all terms. 4v^2 + 48v + 80 can be divided by 4.Divide by Common Factor: Divide each term by 4. 4v^2 ÷ 4 = v^2, 48v ÷ 4 = 12v, 80 ÷ 4 = 20. So, 4v^2 + 48v + 80 = 4(v^2 + 12v + 20).Factor Trinomial: Now, factor the trinomial inside the parentheses. We need two numbers that multiply to 20 and add to 12.Find Multiplying Numbers: The numbers 10 and 2 multiply to 20 and add to 12. So, v^2 + 12v + 20 can be factored as (v + 10)(v + 2).Final Factored Form: Write the final factored form including the 4 we factored out initially. 4(v^2 + 12v + 20) = 4(v + 10)(v + 2).

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Algebra 2

Factor quadratics

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Q. Factor.

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4v^2 + 48v + 80

Identify Common Factor: First, look for a common factor in all terms. $4v^2 + 48v + 80$ can be divided by $4$ .
Divide by Common Factor: Divide each term by $4$ . $4v^2 \div 4 = v^2$ , $48v \div 4 = 12v$ , $80 \div 4 = 20$ . So, $4v^2 + 48v + 80 = 4(v^2 + 12v + 20)$ .
Factor Trinomial: Now, factor the trinomial inside the parentheses. $\newline$ We need two numbers that multiply to $20$ and add to $12$ .
Find Multiplying Numbers: The numbers $10$ and $2$ multiply to $20$ and add to $12$ . So, $v^2 + 12v + 20$ can be factored as $(v + 10)(v + 2)$ .
Final Factored Form: Write the final factored form including the $4$ we factored out initially. $4(v^2 + 12v + 20) = 4(v + 10)(v + 2)$ .