SOLUTION: 19.) Factor each polynomial completely. x^3+125

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Question 162888This question is from textbook Elementary and Intermediate
: 19.) Factor each polynomial completely.
x^3+125 This question is from textbook Elementary and Intermediate

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E3%2B125 Do you recognize this as the sum of two cubes? %28x%29%5E3%2B%285%29%5E3
The sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 and in this problem, x = A and 5 = B, so...
x%5E3%2B125+=+%28x%2B5%29%28x%5E2-5x%2B25%29