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Divide. If there is a remainder, include it as a simplified fraction.
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Q. Divide. If there is a remainder, include it as a simplified fraction.
- Use Polynomial Long Division: To divide the polynomial by the binomial , we will use polynomial long division.
- Find First Quotient Term: First, we divide the leading term of the polynomial, , by the leading term of the binomial, , to get the first term of the quotient, which is .Calculation:
- Subtract and Multiply: Next, we multiply the entire binomial by the term we just found, , and subtract the result from the original polynomial.Calculation: Subtraction:
- Find Next Quotient Term: Now, we divide the leading term of the new polynomial, , by the leading term of the binomial, , to get the next term of the quotient, which is .Calculation:
- Repeat Subtraction and Multiplication: We multiply the entire binomial by the term we just found, , and subtract the result from the new polynomial.Calculation: Subtraction:
- Complete Division: Since we have no remainder, the division is complete, and the quotient is the final answer.
