Verified Answer :

(27x^5 - 33x^4 - 21x^3)/3x^2 = (27/3)x^(5 - 2) - (33/3)x^(4 - 2) - (21/3)x^(3 - 2) = 9x^3 - 11x^2 - 7x

C. \(\frac{f(x)}{g(x)} =9x^{3}-11x^{2} -7x\)

What is expression ?

Expression is a mathematical statement of two or more numbers or variables.

Example : 4x-3y, 2x-5y+18 etc.

What is the required result ?

Given that, \(f(x)=27x^{5}-33x^{4}-21x^{3}\)  & \(g(x)=3x^{2}\)

Then, \(\frac{f(x)}{g(x)}=\frac{27x^{5} -33x^{4} -21x^{3} }{3x^{2} }\)

                = \(\frac{27x^{5} }{3x^{2} } -\frac{33x^{4} }{3x^{2} } -\frac{21x^{3} }{3x^{2} }\)

                = \(9x^{3}-11x^{2} -7x\)

Learn more about expression here :

https://brainly.com/question/4348710

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