Question 743612

How do I factor, 10a^3+9a^2+2a. I know that it converts to: (10a^3 +5a^2)+ (4a^2 +2a)But i am not sure what to do next.


Before grouping the first thing you need to do is find the GCF (greatest common factor), as follows: 


{{{10a^3 + 9a^2 + 2a}}} -----> {{{a(10a^2 + 9a + 2)}}}. 


You then replace 9a with 5a + 4a, GROUP and then factor, as follows:


{{{a(10a^2 + 5a + 4a + 2)}}}


a[{{{(10a^2 + 5a) + (4a + 2)}}}]


a[{{{5a(2a + 1) + 2(2a + 1)}}}]


Finally, we have: {{{highlight_green(a(5a + 2)(2a + 1))}}}