Question

Can someone help? I am really confused on how to factor this trinomial completely.
25x^3 - 55x^2 - 60x
I got so far on it, then got lost

Answer 1

Well, it seems that the number 5 and x are common here. So start with taking out 5x.

Answer 2

you should get 5x (5x+4) (x-3)

Answer 3

I factored out the GCF which is 5x then got a new equation of
5x(5x^2 - 11x - 12
Then I needed to find two numbers whose product was -60 and whose sum was -11 which I got 4, -15. Then I plugged 4x - 15x into the equation replacing 11x and got a new equations of
5x(5x^2 +4x - 15x - 12) After that I got confused.

Answer 4

I'm pretty sure the next thing I have to do is group together two different groups. Which would then be 5x(5x^2 + 4x) + (-15x - 12)

Answer 5

5x^2 - 11x - 12 can be factored into (5x+4)(x-3) you dont distribute the 5x again to factor again the whole point of taking it out is to leave it aside afer all is factored

Answer 6

so like i said your final answer is 5x (5x+4) (x-3)

Answer 7

How do you get (5x + 4)(x + 3) out of 5x^2 - 11x -12 ?

Answer 8

sorry (x - 3)

Answer 9

4 times -3 is -12 , 5x timex x is 5x^2 , and 4x + -15x is -11x

Answer 10

remember FOIL the first numbers on both parenthesis will give you the first value in the trinomial then you need to find values that when multiplied equal the last number in the trinomial in this case ( 4 and 3) and you determine the sign on the parenthesis when you add the outer terms multiplied plus the inner terms multiplied