Below are several options for the roots of a polynomial with degree 4. Consider all possibilities and combinations for the x- intercepts.
distinct x-intercepts of which one has a multiplicity of
x-intercepts and imaginary roots
distinct x-intercepts of which one has a multiplicity of
distinct x-intercepts
x-intercept with multiplicity
x-intercept with imaginary roots
distinct x-intercepts and imaginary root
distinct x-intercepts each with multiplicity
