Answer: Even degrees of 6 or greater
Step-by-step explanation:
Degree of a polynomial is the highest power of its term (monomial) having non-zero coefficients.
Also, the degree is even or odd shows the end behavior of the polynomial and the value of the degree shows the maximum number of roots.(x-intercepts)
When we see the given diagram, we found that the function has at least 6 roots,
Thus, it has degree of 6 or more than 6.
Now, the end behavior of the given graph is,
[tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow \infty[/tex]
[tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow -\infty[/tex]
Which is the end behavior of an even function,
⇒ Given polynomial has even degree.
⇒ Second option is correct.
