Question

"In a cubic function (x^3), is it possible to have 3 imaginary solutions? Explain.

a) Yes, because cubic equations can have up to 3 imaginary solutions.
b) No, cubic equations can have at most 2 imaginary solutions.
c) Yes, because the number of imaginary solutions is not restricted in cubic functions.
d) No, cubic equations always have real solutions."

Answer 1

Yes, in a cubic function (x^3), it is possible to have 3 imaginary solutions.

Step-by-step explanation:

In a cubic function (x^3), it is possible to have 3 imaginary solutions. The reason is that cubic equations can have up to 3 roots, and these roots can be either real or imaginary. The number of imaginary solutions is not restricted in cubic functions, so it is indeed possible to have 3 imaginary solutions in a cubic equation.