SOLUTION: Factor the expression completely. 7x^3+56x^2+5x+40

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the expression completely. 7x^3+56x^2+5x+40      Log On


   

Question 644562: Factor the expression completely.
7x^3+56x^2+5x+40
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7x%5E3%2B56x%5E2%2B5x%2B40 Start with the given expression


%287x%5E3%2B56x%5E2%29%2B%285x%2B40%29 Group the terms in two pairs


7x%5E2%28x%2B8%29%2B5%28x%2B8%29 Factor out the GCF 7x%5E2 out of the first group. Factor out the GCF 5 out of the second group


%287x%5E2%2B5%29%28x%2B8%29 Since we have the common term x%2B8, we can combine like terms


So 7x%5E3%2B56x%5E2%2B5x%2B40 factors to %287x%5E2%2B5%29%28x%2B8%29


In other words, 7x%5E3%2B56x%5E2%2B5x%2B40=%287x%5E2%2B5%29%28x%2B8%29 for all values of x

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