Question

Which of the binomials below is a factor of this trinomial? 4x2 + 20x - 24

Answer 1

I use what is known as the AC method.

Answer 2

4x^2+20x-24 is also known as.... a^2+bx+c right?

Answer 3

a= 4
b = 20
c = -24
ac = -96
b = 20 (What multiplies to -96 but equals positive 20)

Answer 4

-4*24 = -96
-4 + 24 = 20

Answer 5

So I must replace the 20x with those two digits

Answer 6

4x^2-4x+24x-24

Answer 7

Now, take the first two numbers and factor those out....

4x(x-1)

Take the last two numbers and factor those...

24(x-1)

So combined we have...

4x(x-1)+24(x-1)

Answer 8

Notice inside of the parenthses it is the same. They both are (x-1) it should always be the same.

Answer 9

Now we put together the outside terms ...

(4x+24)(x-1)

Answer 10

Do you understand @ermete.mayas

Answer 11

kind of... omg you should have been my teacher instead -.-

Answer 12

:)

Answer 13

lOl, thank you

Answer 14

No problem.