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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.
- Divide Leading Terms: We will use polynomial long division to divide by . First, we divide the leading term of the numerator, , by the leading term of the denominator, , to get the first term of the quotient.
- Multiply and Subtract: Now, we multiply the entire divisor by the first term of the quotient and subtract the result from the original polynomial.Subtract this from the original polynomial:
- Divide New Leading Term: Next, we divide the new leading term of the remainder, , by the leading term of the divisor, .
- Multiply and Subtract: We multiply the entire divisor by the new term of the quotient and subtract the result from the current remainder.Subtract this from the current remainder:
- Check Remainder: Since the remainder is , we have finished the division process. The quotient is the sum of the terms we found: .
