Answer
The standard form is $-\frac{5}{7}r^{8}+2r^{5}+\pi r^{2}$.
The degree is $8$.
The leading coefficient is $-\frac{5}{7}$.
This polynomial is classified as a trinomial.
Work Step by Step
The given polynomial is $\pi r^{2}-\frac{5}{7}r^{8}+2r^{5}$.
The standard form is obtained by writing the terms of the polynomial in the decreasing order of their exponents. So the standard form is $-\frac{5}{7}r^{8}+2r^{5}+\pi r^{2}$.
The greatest degree of the terms in a polynomial is called the degree of it. In this case, it is $8$.
The coefficient of the first term of the polynomial written in standard form is called leading coefficient. Here, the leading coefficient is $-\frac{5}{7}$.
Since the number of terms in this polynomial is three, it is classified as a trinomial.
