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Chapter 2: Problem 24
Find the rational zeros of the function. $$p(x)=x^{3}-9 x^{2}+27 x-27$$
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Use the given zero to find all the zeros of the function. Function \(f(x)=2 x^{3}+3 x^{2}+18 x+27\) Zero \(3 i\)
cost The ordering and transportation cost \(C\) (in thousands of dollars) for machine parts is \(C=100\left(\frac{200}{x^{2}}+\frac{x}{x+30}\right), \quad x \geq 1\) where \(x\) is the order size (in hundreds). In calculus, it can be shown that the cost is a minimum when \(3 x^{3}-40 x^{2}-2400 x-36,000=0\) Use a calculator to approximate the optimal order size to the nearest hundred units.
Find all the zeros of the function. When there is an extended list of possible rational zeros, use a graphing utility to graph the function in order to disregard any of the possible rational zeros that are obviously not zeros of the function. $$f(x)=2 x^{4}+5 x^{3}+4 x^{2}+5 x+2$$
Write the polynomial as the product of linear factors and list all the zeros of the function. $$f(y)=y^{4}-256$$
Write the polynomial as the product of near factors and list all the zeros of the function. $$f(x)=x^{4}+29 x^{2}+100$$
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