Factor. 5t^2 + 25t + 30 ____

Identify GCF: First, let's look for a greatest common factor (GCF) that we can pull out from all the terms. GCF of 5t^2, 25t, and 30 is 5. So, we take out 5 and rewrite the expression. 5(t^2 + 5t + 6)Factor Out GCF: Now, we need to factor the quadratic inside the parentheses. We're looking for two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of t). Those numbers are 2 and 3.Factor Quadratic: So, we can write t^2 + 5t + 6 as (t + 2)(t + 3). Now, we bring back the 5 we factored out earlier. 5(t + 2)(t + 3)Correct Mistake: Oops, I made a mistake. The correct numbers that multiply to 6 and add up to 5 are 2 and 3, but I forgot to include the GCF in the factored form. The correct factored form should be 5(t + 2)(t + 3).

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Algebra 2

Factor quadratics

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Q. Factor.

\newline

5t^2 + 25t + 30

Identify GCF: First, let's look for a greatest common factor (GCF) that we can pull out from all the terms. $\newline$ GCF of $5t^2$ , $25t$ , and $30$ is $5$ . $\newline$ So, we take out $5$ and rewrite the expression. $\newline$ $5(t^2 + 5t + 6)$
Factor Out GCF: Now, we need to factor the quadratic inside the parentheses. $\newline$ We're looking for two numbers that multiply to $6$ (the constant term) and add up to $5$ (the coefficient of $t$ ). $\newline$ Those numbers are $2$ and $3$ .
Factor Quadratic: So, we can write $t^2 + 5t + 6$ as $(t + 2)(t + 3)$ . Now, we bring back the $5$ we factored out earlier. $5(t + 2)(t + 3)$
Correct Mistake: Oops, I made a mistake. The correct numbers that multiply to $6$ and add up to $5$ are $2$ and $3$ , but I forgot to include the GCF in the factored form. $\newline$ The correct factored form should be $5(t + 2)(t + 3)$ .