(1 point) This question summarizes a few simple
facts about polynomials. Recall that a polynomial
p can be written in the form
n
p(x) = 2a
i=0
where we assume that a, +0. The degree of a
polynomial is the largest exponent present, and so
the degree of p is n. Fill in the blanks in the
following questions:
The degree of p'(x) is
The degree of / p(x)dx is
The degree of p* (x) (i.e., the square of p) is
The (n + 1)-th derivative of p is