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

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Dividing Polynomials using Long Division - Problem 5

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

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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 (divisor) and decide what it needs to be multiplied by in order to get the first term of the polynomial (dividend). 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. Your quotient is whatever is on the top of the division bar, and the remainder is the bottom right value that your dividend cannot multiply in to.

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