Question

Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.

Answer 1

Did your explanation include the following?

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.

Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.

Answer 2

Answer:

Some polynomial equations have complex solutions.

Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane. Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.