Question

*5th degree polynomial *a positive leading coefficient *Four extremas *The only real zeros are: A zero at x = -4 with a multiplicity of 2 A zero at x = 0 with a multiplicity of 1 A zero at x = 2 with a multiplicity of 2

Answer 1

We want to find the range, domain and a possible graph the fifth degree polynomial.

The polynomials has a domain of all reals values, and becuase it's a odd degree his range too. So:

$\begin{gathered} D=(-\infty,\infty) \\ R=(-\infty,\infty) \end{gathered}$

A possible graph could be:

The root whit multiplicity even has a parabola-like behavior, so the function does not cross the x-axis