Question

Factor The Trinnomial:
4t^2-4t-15=
I have more than just this one i would appreciate it if someone could help me with those too. I dont understand them at all.

Answer 1

i have a method that will work if it has rational factors

Answer 2

Im not really sure what that means but im willin to learn anything that will help me get through this

Answer 3

given: 4x^2 - 4x - 15

is it possible factor out the a 4

Answer 4

if not setup as such:

(x /4) (x /4) and we can fill in some details

if the last sign is + we have like operators, if its - we have different operators

- 15 tells me we have different operators, so fill them in

(x + /4) (x - /4)

the middle sign tells me which factor is bigger; - 4x tells me that the - sign is larger

(x + S/4) (x - L/4)

now to find S and L

Answer 5

first times last gives us a product to factor

4 * 15 = 90

what factors of 90 subtract to get the middle term ?

Answer 6

Factor by grouping.

4t^2 - 10t + 6t - 15

4t^2 - 10t factors to be 2t(2t - 5).

6t-15 factors out to be 3(2t-5).

Answer: (2t+3)(2t-5)

Answer 7

pfft, i messed up at 4*15 :) its 60 not 90 lol

Answer 8

60,1
30,2
20,3
15,4
12,5
10,6 <-- that one differs by 4 L=10, S=6

(x + S/4) (x - L/4)

(x + 6/4) (x - 10/4) ; reduce the fractions

(x + 3/2) (x - 5/2) ; if there are still fractions, stick the bottom in front

(2x + 3) (2x - 5)

Answer 9

i was never good at factor by grouping .... so i go this route

Answer 10

Thanks for the help yall got it now.