6.1.5 Dividing Polynomials (continued) Example 4 Long Division with a Remainder
When dividing polynomials, if the divisor (denominator) is a factor of the dividend (numerator), then the remainder of long division will be 0. If the divisor is not a factor of the dividend, then the remainder is not 0. The remainder can be written as a rational expression, as demonstrated by Prof. Burger in Example 4.
Example 5 Dividing Polynomials That Have a Zero Coefficient In Example 5, Prof. Burger demonstrates using long division when a place holder is needed for a term with a zero coefficient.
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