Question

Linear Expressions, Equations & Inequalities Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
How would you rewrite the expression 6a9+8a5
by factoring out the GCF?(1 point)
Responses

2a5(3a4+4a)
2 a superscript 5 baseline left parenthesis 3 a superscript 4 baseline plus 4 a right parenthesis

a5(6a4+8)
a superscript 5 baseline left parenthesis 6 a superscript 4 baseline plus 8 right parenthesis

2a5(3a4+8)
2 a superscript 5 baseline left parenthesis 3 a superscript 4 baseline plus 8 right parenthesis

2a5(3a4+4)

Answer 1

To factor the expression \( 6a^9 + 8a^5 \), we first need to determine the greatest common factor (GCF) of the two terms.

1. The coefficients are 6 and 8, and the GCF of 6 and 8 is 2.
2. The variable part has \( a^9 \) and \( a^5 \). The GCF for \( a^9 \) and \( a^5 \) is \( a^5 \).

Now we can factor out the GCF from the expression:

\[
6a^9 + 8a^5 = 2a^5(3a^4 + 4)
\]

So, the correct response is:

**2a^5(3a^4 + 4)**