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Divide the polynomials. Your answer should be a polynomial.
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Q. Divide the polynomials. Your answer should be a polynomial.
- Given Division Problem: We are given the division problem . To divide a polynomial by a monomial, we divide each term of the polynomial by the monomial.
- Step : Divide the first term: First, divide the term by . This is done by subtracting the exponents of in the numerator and the denominator, since . The coefficient remains the same, so we get .
- Step : Divide the second term: Next, divide the term by . Similarly, we subtract the exponents, . There is no coefficient other than , so the result is simply .
- Step : Combine the results: Combine the results of the division of each term to get the final polynomial. The result is .
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