The polynomial x3 + 8 is equal to

(x + 2)(x2 – 2x + 4).
(x – 2)(x2 + 2x + 4).
(x + 2)(x2 – 2x + 8).
(x – 2)(x2 + 2x + 8).

For this case we have the following polynomial:

We can rewrite this polynomial in the following way:

1) Identify that this binomial is a sum of cubes:

We have then:

2) Factor the binomial as:

Therefore, substituting the values of a and b we have:

Rewriting we have:

The polynomial x ^ 3 + 8 is equal to:

option 1

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

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6