Each morning a deli worker has to make several pies and peel a bucket of potatoes. on monday it took the worker 2 h to make the pies and an average of 1.5 min to peel each potato. on tuesday the worker finished the work in the amount of time but it took 2.5 h to make the pies and an average of 1 min to peel each potato. about how many potatoes are in a bucket?
• what qualities do you know and how are they related to each other?
• how can you use the known and unknown quantities to write an equation for this situation?

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! : )

cretdit to source