SOLUTION: I need to factor the polynomial completely. 6. a^3-2a^2+5a-10 Thank you so much in advance for your help! Have a terrific day!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to factor the polynomial completely. 6. a^3-2a^2+5a-10 Thank you so much in advance for your help! Have a terrific day!      Log On


   

Question 634152: I need to factor the polynomial completely.
6. a^3-2a^2+5a-10

Thank you so much in advance for your help! Have a terrific day!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

a%5E3-2a%5E2%2B5a-10 Start with the given expression


%28a%5E3-2a%5E2%29%2B%285a-10%29 Group the terms in two pairs


a%5E2%28a-2%29%2B5%28a-2%29 Factor out the GCF a%5E2 out of the first group. Factor out the GCF 5 out of the second group


%28a%5E2%2B5%29%28a-2%29 Since we have the common term a-2, we can combine like terms


So a%5E3-2a%5E2%2B5a-10 factors to %28a%5E2%2B5%29%28a-2%29


In other words, a%5E3-2a%5E2%2B5a-10=%28a%5E2%2B5%29%28a-2%29

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