Respuesta :

The quotient of the polynomial exists 5x+6 + (4 / x+6).

What is meant by quotient and remainder?

The number of periods we have subtracted exists named the quotient (of the division of by ) The number that exists leftover after subtracting as usually as possible exists named the remainder (of the division of by ).

Given: (5x²+36x+40)/(x+6)

(5x²+36x+40)/(x+6) = 5x + (6x+40 / x+6)

Dividing the above equation

(6x+40) / (x+6) = 6+(4 / x+6)

Therefore, (5x²+36x+40)/(x+6) = 5x+6 + (4 / x+6)

The quotient of the polynomial exists 5x+6 + (4 / x+6).

To learn more about quotient polynomial refer to:

https://brainly.com/question/17082527

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