A set of 333 cylindrical canisters all have diameter 888 centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis. The heights of the canisters are 16\,\text{cm}16cm16, start text, c, m, end text, 12\,\text{cm}12cm12, start text, c, m, end text, and 9\,\text{cm}9cm9, start text, c, m, end text, respectively. Which of the following is closest to the total volume of the 333 canisters in cubic centimeters \left(\text{cm}^3\right)(cm 3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis?

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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