How do you divide (4x^3-5x^2+9x-3)/(2x-3) ?

1 Answer
Dec 17, 2015

y=((x^2+3)(4x-5)(3x-1))/(2x-3)

Explanation:

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

Divide 2 terms at once by a common factor.
y=(x^2(4x-5)+3(3x-1))/(2x-3)

Rewrite the equation.
y=((x^2+3)(4x-5)(3x-1))/(2x-3), x!=3/2

Since the equation cannot be simplified any further, the final answer is y=((x^2+3)(4x-5)(3x-1))/(2x-3) where x!=3/2.