0.5(x^4 − 9) + 17

combine like terms.

Hello from MrBillDoesMath!

0.5 x^4 + 12.5

Discussion:

Only the constant terms are "like" and can be combined. Nothing combines with x^4.

0.5 ( x^4 - 9) + 17 =

0.5 x^4 -  0.5 (9) + 17 =               as 0.5(9) = 4.5

0.5x^4  -  4.5 + 17 =

0.5 x^4 + 12.5

Thank you,

MrB

$12. that is my answer.

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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