Answer
$-7x^2 + 4x + 1$
$\text{This is a quadratic trinomial.}$
Work Step by Step
To figure the degree of a polynomial, we look to the term with the highest power. Let's rewrite this expression in terms of descending powers:
$-7x^2 + 4x + 1$
In this polynomial, the term $-7x^2$ has the highest power. A second degree polynomial can be called "quadratic."
There are three terms in this polynomial (called a "trinomial") with the highest term being quadratic, so we call it a quadratic trinomial.