Divide. If there is a remainder, include it as a simplified fraction. (3x^3 + 11x^2 + 10x) ÷ (x + 2) ______

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Divide. If there is a remainder, include it as a simplified fraction.   (3x^3 + 11x^2 + 10x) ÷ (x + 2)    ______

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Polynomial Long Division: We will use polynomial long division to divide (3x^3 + 11x^2 + 10x) by (x + 2). First, we divide the first term of the dividend, 3x^3, by the first term of the divisor, x, to get the first term of the quotient. 3x^3 ÷ x = 3x^2First Term Division: We multiply the divisor (x + 2) by the first term of the quotient (3x^2) and subtract the result from the dividend. (3x^3 + 11x^2 + 10x) - (3x^2 * (x + 2)) = (3x^3 + 11x^2 + 10x) - (3x^3 + 6x^2) This simplifies to 5x^2 + 10x.Subtraction and Simplification: Next, we divide the first term of the remaining polynomial, 5x^2, by the first term of the divisor, x, to get the next term of the quotient. 5x^2 ÷ x = 5xNext Term Division: We multiply the divisor (x + 2) by the new term of the quotient (5x) and subtract the result from the remaining polynomial. (5x^2 + 10x) - (5x * (x + 2)) = (5x^2 + 10x) - (5x^2 + 10x) This simplifies to 0, so there is no remainder.

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(3x^3 + 11x^2 + 10x) \div (x + 2)$

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Divide. If there is a remainder, include it as a simplified fraction.\newline(3x3+11x2+10x)÷(x+2)(3x^3 + 11x^2 + 10x) \div (x + 2)(3x3+11x2+10x)÷(x+2)

Divide. If there is a remainder, include it as a simplified fraction. $\newline$ $(3x^3 + 11x^2 + 10x) \div (x + 2)$