Question
Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 32 p^{5}+16 p^{3} \)
Ask by Lowe Kelly. in the United States
Feb 02,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(16 p^{3} (2 p^{2} + 1)\)
Solution
The greatest common factor (GCF) of \(32 p^{5}\) and \(16 p^{3}\) is \(16 p^{3}\).
Factoring out the GCF:
\[
32 p^{5} + 16 p^{3} = 16 p^{3} (2 p^{2} + 1)
\]
**Answer:**
\[
16 p^{3} (2 p^{2} + 1)
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
The greatest common factor (GCF) of \(32p^5\) and \(16p^3\) is \(16p^3\). Factoring it out, we get: \[ 32p^{5}+16p^{3} = 16p^{3}(2p^{2}+1) \] Now, you've got the polynomial neatly factored!
