Please help fast! 25 points and brainliest!!Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the functions:
f(x) = 36x^5 - 44x^4 - 28x^3
g(x) = 4x^2
Find f(x)/g(x)
Solution:
f(x)/g(x) can be represented by having the function f(x) in the numerator and g(x) in the denominator.
f(x)/g(x) = (36x^5 - 44x^4 - 28x^3)/ 4x^2
Factor out 4x^3 from the numerator since it is the greatest common factor, and it order to simplify further.
f(x)/g(x) = (36x^5 - 44x^4 - 28x^3)/ 4x^2
f(x)/g(x) = 4x^3(9x^2 - 11x - 7)/ 4x^2
Cancel out 4x^2 and 4x^3 leaving behind x.
f(x)/g(x) = x(9x^2 - 11x - 7)
Final answer:
f(x)/g(x) = x(9x^2 - 11x - 7)