A country's census lists the population of the country as 242 million in 1990, 285 million in 2000, and 322 million in 2010. Fit a second-degree polynomial P(t) = at^2 + bt + c passing through these three points. (Let the year 2000 be x = 0 and let p(x) represent the population in millions.) Sketch the parabola, P(t).

the circle one

answer: no

step-by-step explanation:

a

step-by-step explanation:

jjddbdhid r

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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