Question

How do you write `4x^2-24x+27` in the form of `a(x-b)^2+c`?

Answer 1

`=4(x - 3)^2 - 9`

Explanation:

`4 x^2 - 24 x + 27 = 4(x^2 - 6 x) + 27`

`= 4(x - 6/2)^2 - 4(6/2)^2 + 27`

`= 4(x - 3)^2 - 4(3)^2 + 27`

`= 4(x - 3)^2 - 36 + 27`

`=4(x - 3)^2 - 9`