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Dividing Polynomials using Long Division - Problem 2

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Long division of polynomials is done with the same basic algorithm that is used for long division of integers. Here, you look at the first term of the binomial and decide what it needs to be multiplied by in order to get the first term of the polynomial. Write that monomial on top of the division bar, multiply it by both terms of the binomial, and write your answer below the polynomial. Subtract vertically, and the first term should be eliminated. Repeat this process: look again at the first term of the binomial and decide what it needs to be multiplied by in order to get the first term of the difference. Repeat this over and over. The final value that your binomial does not multiply in to is your remainder. Here we practice how to write the final answer as quotient plus remainder over divisor.

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