SOLUTION: when y^3 + 5y^2-3y-15 is factored completely, one of the factors is:

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Question 131048: when y^3 + 5y^2-3y-15 is factored completely, one of the factors is:

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

y%5E3%2B5y%5E2-3y-15 Start with the given expression

%28y%5E3%2B5y%5E2%29%2B%28-3y-15%29 Group like terms


y%5E2%28y%2B5%29-3%28y%2B5%29 Factor out the GCF y%5E2 out of the first group. Factor out the GCF -3 out of the second group


%28y%5E2-3%29%28y%2B5%29 Since we have the common term y%2B5, we can combine like terms

So y%5E3%2B5y%5E2-3y-15 factors to %28y%5E2-3%29%28y%2B5%29 which means that one of the factors is either y%5E2-3 or y%2B5

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
y%5E3%2B5y%5E2-3y-15
%28y%5E2-3%29%28y%2B5%29
Take your pick of factors: %28y%5E2-3%29 or %28y%2B5%29.