SOLUTION: Factor completely: 4x^6+32x^3

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Question 218672: Factor completely:
4x^6+32x^3
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:

4x%5E6%2B32x%5E3

Step 1. Look at the numbers of each term. Here it's 4 and 32 and find the common factors: 4=2*2 and 32=2*2*2*2*2. Then their common factor is 4.

Step 2. Then look at the variables x. The common factor with the highest exponent is x%5E3.

4x%5E6%2B32x%5E3=4x%5E3%28x%5E3%2B8%29

Step 3. ANSWER: 4x%5E6%2B32x%5E3=4x%5E3%28x%5E3%2B8%29

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV