Will give !
let f(x) = 36x^5 − 44x^4 − 28x^3 and g(x) = 4x^2. find f(x)/g(x) .
a. 9x^2 − 11x − 7
b. 9x^2 + 11x + 7
c. 9x^3 − 11x^2 − 7x
d. 9x^3 + 11x^2 + 7x

Step-by-step explanation:

option C is the correct answer

Step-by-step explanation:

f(x) = 36x^5 − 44x^4 − 28x^3

g(x) = 4x^2

We want to determine f(x)/g(x). It becomes

(36x^5 − 44x^4 − 28x^3) /(4x^2)

Looking at the numerator, each term in the numerator can divide the term in the denominator without remainder. it means that the term in the denominator is a common factor of the numerator and thus, 4x^2 can be factorized out of the numerator. It becomes

4x^2(9x^3 − 11x^2 − 7x) /(4x^2)

4x^2 in the numerator cancels out 4x^2 in the denominator. It becomes

9x^3 − 11x^2 − 7x

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right