Question

Find the quotient of 40, y, to the power 4 , minus, 5, y, cubed, minus, 30, y, squared, minus, 10, y40y
4
−5y
3
−30y
2
−10y divided by 5, y5y.

Answer 1

(40y^4 − 5y^3 − 30y^2 − 10y) ÷ (5y)

Divide each term by 5y:
40y^4/(5y) = 8y^3
−5y^3/(5y) = −y^2
−30y^2/(5y) = −6y
−10y/(5y) = −2

Quotient: 8y^3 − y^2 − 6y − 2.