Q:

How do you divide polynomials?

A:

Quick Answer

To divide polynomials, write the polynomials in long division form, and divide each numerator by the first term of the denominator. Multiply the denominator with that answer, and subtract to create a new polynomial. Write the answer above the denominator, and repeat the process.

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Full Answer

  1. Write the polynomials in long division form

    Write the denominator first, and draw an open box to the right of it. Write the numerator inside the box.

  2. Divide the numerator by the denominator

    Divide the first term of the numerator by the first term of the denominator. Write the answer on the line above the numerator. Multiply that answer with the denominator. Write this result below the numerator, and subtract. Divide the result by the first term of the denominator, then write the answer on the line above the numerator. Multiply that answer with the denominator, and subtract the result from the numerator. Repeat the process until the denominator is completely divided into the numerator. If there is a remainder, add it to the answer as a fraction with the original denominator below it.

  3. Check the answer

    Multiply the answer with the denominator to check your answer. The answer is correct if it is the same as the numerator.

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