Let f(x) = 8x³ - 22x² - 4 and g(x) = 4x - 3. Find f(x)/g(x).

Solution:

f(x)/g(x) = 8x³ - 22x² - 4/(4x - 3)

The above fraction of algebraic expression cannot be simplified further.

The numerator is not completely divisible by the denominator.

Hence we shall take the long division method.

Hence f(x)/g(x) = 2x² - 4x - 3 and remainder -13 and quotient is 2x² - 4x - 3 

Let f(x) = 8x³ - 22x² - 4 and g(x) = 4x - 3. Find f(x)/g(x).

Summary:

If f(x) = 8x³ - 22x² - 4 and g(x) = 4x - 3 then f(x)/g(x) = 2x² - 4x - 3 and -13/(4x - 3)