MAT 109 Lecture Notes - Lecture 12: Intermediate Value Theorem, Precalculus, Divisor

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7 Sep 2016
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5. 5 the real zeros of a polynomial function. Provide a generalization to each of the key terms listed in this section. 1 remainder and factor theorems (quotient)(divisor) + remainder = dividend. 2 division algorithm for polynomials f (x) g (x) = q (x) + r (x) g (x) f (x) = q (x) g (x) + r (x) f (x) = dividend. 1 q(x) = quotient g(x) = divisor r(x) = remainder. Since f (x) is the dividend, if f (x) is being divided by x c, which would look like f (x) x c , then the remainder would technically be f (c). First o , let f be a polynomial function. A polynomial function and cant have more actual real zeroes than its own degree or even of degree n, like n 1, has at most n real zeros.

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