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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 have the division problem: To solve this, we will perform polynomial long division.
- Multiply and Subtract: First, we divide the leading term of the numerator, , by the leading term of the denominator, , to get the first term of the quotient.
- Correcting Mistake: Next, we multiply the entire denominator by the term we just found, , and subtract the result from the original polynomial.Subtract this from the original polynomial:
- Correcting Mistake: Next, we multiply the entire denominator by the term we just found, , and subtract the result from the original polynomial.Subtract this from the original polynomial:We made a mistake in the previous step. We need to subtract the entire expression, not just the term. Let's correct this.
