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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 .
- Subtract and Find Remainder: Next, we multiply the entire binomial by the term we just found, , to get . We then subtract this from the original polynomial to find the remainder..
- Find Next Quotient Term: Now, we divide the leading term of the new remainder, , by the leading term of the binomial, , to get the next term of the quotient, which is .
- Subtract and Check Remainder: We multiply the binomial by to get and subtract this from the remainder we had..
- Finalize Quotient: Since the remainder is , we have no remainder in our division, and the quotient is the final answer.
