


PolynomialsDivisionWe say D is a factor of P if P = D×Q for some Q. In this case . Determining Q from is usually carried out by long division, a method similar to that for numbers. ExampleWrite each polynomial with terms in descending powers of x. The highest term in the numerator is x^{3}. The highest term in the denominator is x. Start by dividing the highest term in the numerator by the highest term in the denominator, that is, dividing x into x^{3}. More Examples (this will open in a new window) ExerciseCompute the polynomial division below. Check your answer when complete.
If D is not a factor of P, then P = D×Q + R, where R is a polynomial of degree smaller than that of D. Hence, . Example
More Exercises (this will open in a new window) ExerciseCompute the polynomial division below. Write your answer with powers in increasing order and don't type blank spaces in your answer.
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