Let f(x) = 8x³ - 28x + 61 and g(x) = 2x + 5. Find f(x)/ g(x)

Solution:

Given f(x) = 8x³ - 28x + 61 and g(x) = 2x + 5

Step1: f(x) / g(x) can be evaluated using long division of polynomials

Step2: 

Step3:- 2x + 5)8x³ - 28x + 61( 4x² - 10x

Step4:- 2x + 5)8x³ - 28x + 61( 4x² - 10x + 11

f(x) / g (x) = (8x³ - 28x + 61) / (2x + 5) = [(4x2 - 10x +11) (2x + 5)] +6 / (2x+5)

Let f(x) =8x³ - 28x + 61 and g(x) 2x + 5. Find f(x)/ g(x)

Summary:

If f(x) =(8x³ - 28x + 61) and g(x) = (2x + 5) then f(x) / g (x)= [(4x2 - 10x +11) (2x + 5)] +6 / (2x+5)