Explanation
A polynomial is a function of the form $$f(x) = a_{n}x^{n} + a_{n−1}x^{n−1} + ... + a_{2}x^{2} + a_1x + a_0 $$
where $$a_{n}, a_{n−1} , ... a_{2} ,a_1 , a_0 $$ . are contants
and $$n$$ is a natural number.
The degree of a polynomial is the highest power of $$x$$ in its expression.
In option A, $$p(x)=5x+5$$
Highest power of $$x$$ is $$1$$
So, degree of $$p(x)$$ is $$1$$.
In option B, $$p(x)=4x^{4}+4$$
Highest power of $$x$$ is $$4$$
So, degree of $$p(x)$$ is $$4$$.
In option C, $$p(x)=x^{8}$$
Highest power of $$x$$ is $$8$$
So, degree of $$p(x)$$ is $$8$$.
Looking at Option $$D$$
$$p(x) = 9=9.x^{0}$$
Highest power of $$x$$ in $$p(x) $$ is $$=0$$
So, degree of the polynomial $$p(x)$$ is $$0$$.
Thus, it is incorrect.
Hence, the answer is option D.
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