SOLUTION: Can someone please show me the steps to factor a trinomial? It's for college Algebra. Factor the trinomial or state that the trinomial is prime. 5a^2 -4a-28

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Question 829945: Can someone please show me the steps to factor a trinomial? It's for college Algebra.
Factor the trinomial or state that the trinomial is prime.
5a^2 -4a-28

Found 2 solutions by oscargut, MathTherapy:
Answer by oscargut(2103)   (Show Source): You can put this solution on YOUR website!
Answer
(5a-14)(a+2)
If you need more help you can contact me at
mthman@gmail.com
Thanks

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Can someone please show me the steps to factor a trinomial? It's for college Algebra.
Factor the trinomial or state that the trinomial is prime.
5a^2 -4a-28

Apply the "ac" method
From the trinomial, ,
a = 5
b = - 4
c = - 28
ac = 5(- 28), or - 140
As "ac" = - 140, and b = - 4, we need to determine which 2 numbers have a product of - 140, and sum to b, or - 4
These 2 numbers are: + 10 and - 14
----- Replacing - 4a with (10a - 14a)
------ Factoring each pair of expressions

You can do the check!!
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