SOLUTION: Factor the trinomial. a^3 - 2a^2 - 35a

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Question 480720: Factor the trinomial. a^3 - 2a^2 - 35a
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a%5E3+-+2a%5E2+-35a

=a%28a%5E2+-2a+-35%29
=a%28a%5E2+-+2a+-35%29........the two numbers that multiply to -35 and add to -2 are: 5 and -7.......so, replace -2a with 5a-7a
=a%28a%5E2+%2B5a-7a+-35%29...group
=a%28%28a%5E2+%2B5a%29-%287a%2B35%29%29
=a%28a%28a+%2B5%29-7%28a%2B5%29%29
=a%28a-7%29%28a%2B5%29