Question

15a^2 + 14a -8 use A.C method

Answer 1

Hello there!

A C method : you multiply the A and C -> find the factors of AC that can add                          up to B. (a² + bx + c)

15a² + 14a - 8

you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:

15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a  and -6a - 8.

15a² + 20a can be factored like this :
5a(3a + 4)

-6a - 8 can be factored like this :
-2(3a + 4)

So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)


So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)