Choose the list that contains all of the possible rational solutions of
x4 – x3 – 3x2 – 8x + 20 = 0.

A. 1, 2, 4, –1, –2, –4
B. 1, 2, 3, 4, –1, –2, –3, –4
C. 1, 2, 4, 5, 20, –1, –2, –4, –5, –20
D. 1, 2, 4, 5, 10, 20, –1, –2, –4, –5, –10, –20

We want to choose the list that contains all the solutions of the given equation, by graphing it, we will see that the correct option is the first one, A.

So our equation is:

x^4 - x^3 - 3x^2 - 8x + 20 = 0.

The solutions of that equation are all the values of x such that the equation:

y = x^4 - x^3 - 3x^2 - 8x + 20

Intercepts the x-axis.

Then we can use a graphing tool to graph the polynomial and we will get the graph you can see below:

There we can see that there is only one solution, which is x = 2.

Then the correct option will be A, which is the smallest set that contains the solution (notice that all the sets contain it, so we choose the smaller one).

If you want to learn more, you can read:

https://brainly.com/question/13053190

Choose the list that contains all of the possible rational solutions of x4 – x3 – 3x2 – 8x + 20 = 0. A. 1, 2, 4, –1, –2, –4 B. 1, 2, 3, 4, –1, –2, –3, –4 C. 1, 2, 4, 5, 20, –1, –2, –4, –5, –20 D. 1, 2, 4, 5, 10, 20, –1, –2, –4, –5, –10, –20

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Choose the list that contains all of the possible rational solutions of
x4 – x3 – 3x2 – 8x + 20 = 0.

A. 1, 2, 4, –1, –2, –4
B. 1, 2, 3, 4, –1, –2, –3, –4
C. 1, 2, 4, 5, 20, –1, –2, –4, –5, –20
D. 1, 2, 4, 5, 10, 20, –1, –2, –4, –5, –10, –20