SOLUTION: X to the power of 3 minus 1000: factor the polynomial completely.

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Question 433995: X to the power of 3 minus 1000: factor the polynomial completely.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
We know from algebra the formula: a%5E3-b%5E3=%28a-b%29%2A%28a%5E2%2Bab%2Bb%5E2%29
We apply this formula to factor our polynomial, a=x and b=10,
x%5E3-10%5E3=%28x-10%29%28x%5E2%2B10x%2B10%5E2%29, x^2+10x+100 is irreducible on R.
Done.