Question

f(x)=3x^2+8x-4Divide f by x-2

Answer 1

Given the equation of the function f(x)

$f(x)=3x^2+8x-4$

We will divide f(x) by the factor (x-2)

We can use the long division or the synthetic division

We will use the long division as shown in the following figure:

So, the answer will be as follows:

$\frac{f(x)}{x-2}=\frac{3x^2+8x-4}{x-2}=(3x+14)+\frac{24}{x-2}$