Answer
2; trinomial
Work Step by Step
The degree of a polynomial is the largest degree of all its terms.
For the polynomial $5x^{2}-3x-2$, the first term has the largest exponent, so it will have a larger degree than the other terms. For the first term, the exponent on x is 2, so the first term will have a degree of 2.
Therefore, the degree of this polynomial is 2. The polynomial is a trinomial because it has three terms.