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Verified Answer :

We divide each term by 4y
64y³ / 4y = 16y²
20y² / 4y = 5y
-28y / 4y = -7
The quotient is
16y² + 5y -7
The third option is correct

Answer:

option:C

Step-by-step explanation:

The quotient is a quantity produced by the division of two numbers.

here we are given a polynomial \(64y^3+20y^2-28y\) ;we have to divide it by \(4y\)

We know that  \(64y^3+20y^2-28y\) it could also be written as  \(4y(16y^2+5y-7)\)

Now on dividing \(4y(16y^2+5y-7)\) by  \(4y\) we get that  \(4y\) term cancels in the numerator and denominator and we are left with the term \(16y^2+5y-7\) ; which will be a quotient.

Hence, option C is correct.