Question

F(x) = 2x^2 - 5x + 3
g(x) = 4x^2 - 12x + 9
find (f/g) (x)

Answer 1

16x^4 - 80x^3 + 138x^2 - 95x + 24.

f(x) = 2x^2 - 5x + 3.

Explanation:

Answer 2

D

Explanation:

Factorise the numerator and denominator

2x² - 5x + 3 = (x - 1)(2x - 3)

4x² - 12x + 9 = (2x - 3)²

Hence

`(f(x))/(g(x))`

=
`(2x^2-5x+3)/(4x^2-12x+9)`

=
`((x-1)(2x-3))/((2x-3)^2)`

Cancel the factor (2x - 3) on the numerator/denominator leaving

`(x-1)/(2x-3)` → D