Question

Someone pls help me! ❤️❤️❤️

Answer 1

Should be b

Explanation:

Since it's a multiple choice question you know that -2 or 2 has to be a root for the cubic.

You can test both -2 and 2 and see that replacing x for 2 has the expression evaluate to 0.

Then, since you know the imaginary roots have to be conjugates, you get B.

Answer 2

(x-1) ( x -i) (x+i)

Explanation:

x^3 -2x^2 +x-2

Factor by grouping

x^3 -2x^2 +x-2

x^2(x-2) +1(x-2)

Factor out (x-2)

(x-2) (x^2+1)

Rewriting

(x-1) ( x^2 - (-1)^2)

(x-1) ( x -i) (x+i)