Question

Factor Linear Expressions Practice
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Question
How would you rewrite the expression 6a2+12a5
by factoring out the GCF?(1 point)

Answer 1

To factor out the Greatest Common Factor (GCF) from the expression \(6a^2 + 12a^5\), we first identify the GCF of the coefficients and the variable terms.

1. The coefficients are 6 and 12. The GCF of 6 and 12 is 6.
2. The variable terms are \(a^2\) and \(a^5\). The GCF of \(a^2\) and \(a^5\) is \(a^2\) (since we take the lowest power).

Now, we can factor out the GCF, which is \(6a^2\):

\[
6a^2 + 12a^5 = 6a^2(1 + 2a^3)
\]

So, the factored expression is:

\[
6a^2(1 + 2a^3)
\]