SOLUTION: Factor: 5x^3+15x^2+15x

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Question 371281: Factor:
5x^3+15x^2+15x

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E3%2B15x%5E2%2B15x
When factoring an expression, always start with the Greatest Common Factor (GCF). The GCF here is 5x:
5x%28x%5E2%2B3x%2B3%29
After the GCF you try any of the other factoring techniques:
  • Factoring by patterns
  • Trinomial factoring
  • Factoring by grouping
  • Factoring by trial and error of the possible rational roots.

In this problem, however, none of these other techniques work on x%5E2+%2B+3x+%2B+3. So we are done factoring!
5x%5E3%2B15x%5E2%2B15x+=+5x%28x%5E2%2B3x%2B3%29