Remainder theorem

Remainder theorem - polynomial by , then . In the current...

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Remainder theorem Dividing the polynomial by yields a quotient and a remainder of . If , find and . The division algorithm guarantees that if the division of by yields a quotient of and a remainder of , then . We can use this fact to find . Namely, . So . Note that is the remainder when is divided by . The generalization of this result is called the remainder theorem : if is the remainder after dividing the
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Unformatted text preview: polynomial by , then . In the current problem, we have and , so by the remainder theorem we must have , which is exactly the result obtained above. To find , we use the division algorithm along with the given information that : . Thus, the answer is: For additional explanation, see your textbook: Section 3.2: Dividing Polynomials ....
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Remainder theorem - polynomial by , then . In the current...

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