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

Algebra ->  Polynomials-and-rational-expressions -> 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       Log On


   



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) About Me  (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) About Me  (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, 5a%5E2+-+4a+-+28,
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
5a%5E2+%2B+10a+-+14a+-+28 ----- Replacing - 4a with (10a - 14a)
5a%28a+%2B+2%29+-+14%28a+%2B+2%29 ------ Factoring each pair of expressions
highlight_green%28%285a+-+14%29%28a+%2B+2%29%29
You can do the check!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.

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