SOLUTION: Please help me factor this problem: {{{ 5x^3+x^6-14 }}}

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Please help me factor this problem: {{{ 5x^3+x^6-14 }}}      Log On


   

Question 651512: Please help me factor this problem: +5x%5E3%2Bx%5E6-14+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+5x%5E3%2Bx%5E6-14+

+x%5E6%2B5x%5E3-14+

+x%5E6%2B7x%5E3-2x%5E3-14+ ... Note: 7 and -2 multiply to -14 and add to 5

+%28x%5E6%2B7x%5E3%29%2B%28-2x%5E3-14%29+

+x%5E3%28x%5E3%2B7%29%2B%28-2x%5E3-14%29+

+x%5E3%28x%5E3%2B7%29-2%28x%5E3%2B7%29+

+%28x%5E3-2%29%28x%5E3%2B7%29+
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Answer:

+5x%5E3%2Bx%5E6-14+ factors to +%28x%5E3-2%29%28x%5E3%2B7%29+

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