Allen is on the football team this year but he has poor time management skills. his mother told him that he is off the team if he fails anything. on his first quiz he got a 90, the second he earned an 86, then he earned an 82 on the next two quizzes. is this sequence arithmetic or geometric? recursion equation? function formula? on what quiz will he no longer to play football? how many total points did allen earn on all the quizzes he has taken up to his removal of the team?

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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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