Respuesta :

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 [tex]64y^3+20y^2-28y[/tex] ;we have to divide it by [tex]4y[/tex]

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

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

Hence, option C is correct.