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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.
All polynomials cannot be solved or approximated using graphing calculators because some polynomials have complex solutions.
Take for instance:
[tex]\mathbf{P(x) = x^3 - 5x^2 + 6x}[/tex]
The above polynomial has real roots, and can be solved and approximated using graphing calculators.
The roots are: 0, 2 and 3
However, the following polynomial cannot be solved using graphing calculators.
[tex]\mathbf{P(x) =x^3 + 10x^2 + 169x}[/tex]
This is so, because the polynomial has complex solutions.
Hence, some polynomials cannot be solved using graphs because they have complex roots.
Read more about polynomials at:
https://brainly.com/question/2770908
