Divide. If there is a remainder, include it as a simplified fraction. (y^3 + 7y^2 + 10y) ÷ (y + 5) ______

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Divide. If there is a remainder, include it as a simplified fraction.   (y^3 + 7y^2 + 10y) ÷ (y + 5)    ______

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Divide leading terms: We will use polynomial long division to divide (y^3 + 7y^2 + 10y) by (y + 5). First, we divide the leading term of the numerator, y^3, by the leading term of the denominator, y, to get the first term of the quotient. y^3 ÷ y = y^2Multiply and subtract: Now, we multiply the entire divisor (y + 5) by the first term of the quotient (y^2) and subtract the result from the original polynomial. (y + 5)(y^2) = y^3 + 5y^2 (y^3 + 7y^2 + 10y) - (y^3 + 5y^2) = 2y^2 + 10yDivide new polynomial: Next, we divide the leading term of the new polynomial (2y^2) by the leading term of the divisor (y) to get the next term of the quotient. 2y^2 ÷ y = 2yMultiply and subtract: We multiply the entire divisor (y + 5) by the new term of the quotient (2y) and subtract the result from the new polynomial. (y + 5)(2y) = 2y^2 + 10y (2y^2 + 10y) - (2y^2 + 10y) = 0Division complete: Since we have no remainder, the division is complete. The quotient is the sum of the terms we found: y^2 + 2y.

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(y^3 + 7y^2 + 10y) \div (y + 5)$ $\newline$ ______

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Divide. If there is a remainder, include it as a simplified fraction.\newline(y3+7y2+10y)÷(y+5)(y^3 + 7y^2 + 10y) \div (y + 5)(y3+7y2+10y)÷(y+5)\newline______

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(y^3 + 7y^2 + 10y) \div (y + 5)$ $\newline$ ______