Question: Consider the following monster rational function. Analyzing this function will synthesize many of the concepts of this and earlier sections. (a) Given that 1 and

Consider the following “monster” rational function.

x* – 3x3 – 21x² + 43x + 60 f(x) = x4 – 6x3 + x² + 24x – 20


Analyzing this function will synthesize many of the concepts of this and earlier sections.

(a) Given that 1 and 2 are zeros of the denominator, factor the denominator completely.

(b) Write the entire quotient for ƒ so that the numerator and the denominator are in factored form.

x* 3x3 21x + 43x + 60 f(x) = x4 6x3 + x + 24x 20

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a Use synthetic division where g x x 4 6x 3 x 2 24x 20 and k 1 Now ... View full answer

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