Posts tagged polynomial long division
How to do long division with polynomials

Long division of polynomials uses the same steps you learned for long division of real numbers. It might look different because of the variables but don’t worry, it’s the same thing in disguise. Let’s first review long division. Remember this? You followed a pattern of Divide, Multiply, Subtract, Bring Down.

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Using division to find the power series representation

Sometimes we’ll want to use polynomial long division to simplify a fraction, but either the numerator and/or denominator isn’t a polynomial. In this case, we may be able to replace the non-polynomial with its power series expansion, which will be a polynomial. The simplest way to do this for the non-polynomial is to find a similar, known power series expansion and then modify it to match the non-polynomial function.

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Polynomial long division to simplify rational functions

Do you remember doing long division? Now you probably use a calculator for most division problems. We’ll have to remember all those long division skills so that we can divide polynomials. Think about dividing polynomials as long division, but with variables.

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