1310-Notes-Sec-42-filled

1310-Notes-Sec-42-filled - Math 1310 Class Notes –...

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Unformatted text preview: Math 1310 Class Notes – Section 4.2, Page 1 of 7 Math 1310 Section 4.2 Dividing Polynomials In this section, you’ll learn two methods for dividing polynomials, long division and synthetic division. You’ll also learn two theorems that will allow you to interpret results when you divide. • Definitions Suppose ) ( x P and ) ( x D are polynomial functions and . ) ( ≠ x D Then there are unique polynomials ) ( x Q (called the quotient) and ) ( x R (called the remainder) such that ) ( ) ( * ) ( ) ( x R x Q x D x P + = . We call ) ( x D the divisor. The remainder function, ) ( x R , is either 0 or of degree less than the degree of the divisor. • Long division You can find the quotient and remainder using long division. Recall the steps you learned in elementary school to perform long division: Example 1: Find 728 24 . Math 1310 Class Notes – Section 4.2, Page 2 of 7 You can use the same steps when using long division to divide polynomials....
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1310-Notes-Sec-42-filled - Math 1310 Class Notes –...

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