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

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

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Polynomial Long Division: We will use polynomial long division to divide (5b^2 + 3b - 2) by (b + 1). First, we divide the first term of the dividend, 5b^2, by the first term of the divisor, b, to get the first term of the quotient. 5b^2 ÷ b = 5bFirst Term Division: Now, we multiply the entire divisor (b + 1) by the first term of the quotient (5b) and subtract the result from the original polynomial. (5b)(b + 1) = 5b^2 + 5b Subtract this from the original polynomial: (5b^2 + 3b - 2) - (5b^2 + 5b) = -2b - 2Subtraction and Multiplication: Next, we divide the new first term of the remaining polynomial, -2b, by the first term of the divisor, b. -2b ÷ b = -2New Term Division: We multiply the entire divisor (b + 1) by the new term of the quotient (-2) and subtract the result from the remaining polynomial. (-2)(b + 1) = -2b - 2 Subtract this from the remaining polynomial: (-2b - 2) - (-2b - 2) = 0Final Quotient: Since the remainder is 0, we have no remainder and the division is exact. The quotient is the sum of the terms we found: 5b - 2.

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

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Divide. If there is a remainder, include it as a simplified fraction.\newline(5b2+3b−2)÷(b+1)(5b^2 + 3b - 2) \div (b + 1)(5b2+3b−2)÷(b+1)\newline______

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