Divide. If there is a remainder, include it as a simplified fraction. (u^3 + 5u^2 + 4u) ÷ (u + 1) ______

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Divide. If there is a remainder, include it as a simplified fraction.   (u^3 + 5u^2 + 4u) ÷ (u + 1)    ______

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Divide by u: We will use polynomial long division to divide (u^3 + 5u^2 + 4u) by (u + 1). First, we divide the first term of the dividend, u^3, by the first term of the divisor, u, to get the first term of the quotient. u^3 ÷ u = u^2Subtract and Simplify: We multiply the divisor (u + 1) by the first term of the quotient (u^2) and subtract the result from the dividend. (u + 1)(u^2) = u^3 + u^2 Subtract this from the original polynomial: (u^3 + 5u^2 + 4u) - (u^3 + u^2) = 4u^2 + 4uDivide by u: Next, we divide the first term of the new polynomial, 4u^2, by the first term of the divisor, u, to get the next term of the quotient. 4u^2 ÷ u = 4uSubtract and Simplify: We multiply the divisor (u + 1) by the new term of the quotient (4u) and subtract the result from the new polynomial. (u + 1)(4u) = 4u^2 + 4u Subtract this from the new polynomial: (4u^2 + 4u) - (4u^2 + 4u) = 0Complete the Division: Since we have no remainder, the division is complete. The quotient is the sum of the terms we found: u^2 + 4u.

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(u^3 + 5u^2 + 4u) \div (u + 1)$ $\newline$ ______

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Divide. If there is a remainder, include it as a simplified fraction.\newline(u3+5u2+4u)÷(u+1)(u^3 + 5u^2 + 4u) \div (u + 1)(u3+5u2+4u)÷(u+1)\newline______

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(u^3 + 5u^2 + 4u) \div (u + 1)$ $\newline$ ______