SOLUTION: Factor the four-term polynomial by grouping. {{{ x^3+5x^2+3x+15 }}}

Algebra ->  Expressions-with-variables -> SOLUTION: Factor the four-term polynomial by grouping. {{{ x^3+5x^2+3x+15 }}}      Log On


   

Question 374628: Factor the four-term polynomial by grouping.
+x%5E3%2B5x%5E2%2B3x%2B15+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3%2B5x%5E2%2B3x%2B15 Start with the given expression


%28x%5E3%2B5x%5E2%29%2B%283x%2B15%29 Group like terms


x%5E2%28x%2B5%29%2B3%28x%2B5%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 3 out of the second group


%28x%5E2%2B3%29%28x%2B5%29 Since we have the common term x%2B5, we can combine like terms


So x%5E3%2B5x%5E2%2B3x%2B15 factors to %28x%5E2%2B3%29%28x%2B5%29


In other words, x%5E3%2B5x%5E2%2B3x%2B15=%28x%5E2%2B3%29%28x%2B5%29


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim