Divide. If there is a remainder, include it as a simplified fraction. (5t^3 + 16t^2 - 16t) ÷ (t + 4) ______

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Divide. If there is a remainder, include it as a simplified fraction.   (5t^3 + 16t^2 - 16t) ÷ (t + 4)    ______

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Set Up Division: First, we set up the division of the polynomial by the binomial in long division format.Find First Term Quotient: We divide the first term of the polynomial, 5t^3, by the first term of the binomial, t, to get the first term of the quotient, which is 5t^2. Calculation: 5t^3 ÷ t = 5t^2Subtract and Multiply: We multiply the entire binomial (t + 4) by the term we just found, 5t^2, and subtract the result from the polynomial. Calculation: (t + 4)(5t^2) = 5t^3 + 20t^2 Subtraction: (5t^3 + 16t^2 - 16t) - (5t^3 + 20t^2) = -4t^2 - 16tFind Next Term Quotient: We divide the new leading term, -4t^2, by the first term of the binomial, t, to get the next term of the quotient, which is -4t. Calculation: -4t^2 ÷ t = -4tSubtract and Multiply: We multiply the entire binomial (t + 4) by the term we just found, -4t, and subtract the result from the remaining polynomial terms. Calculation: (t + 4)(-4t) = -4t^2 - 16t Subtraction: (-4t^2 - 16t) - (-4t^2 - 16t) = 0Complete Division: Since the remainder is 0, we have completed the division process.

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(5t^3 + 16t^2 - 16t) \div (t + 4)$ $\newline$ ______

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Divide. If there is a remainder, include it as a simplified fraction.\newline(5t3+16t2−16t)÷(t+4)(5t^3 + 16t^2 - 16t) \div (t + 4)(5t3+16t2−16t)÷(t+4)\newline______

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(5t^3 + 16t^2 - 16t) \div (t + 4)$ $\newline$ ______