Question

What is the degree of the polynomial
Xy^2 + 3x^2 - 7 + x

A) 2
B) 3
C) 1
D) 4

Answer 1

to check the degree of the polynomial, check the degree of each of its terms, and the highest one, is the degree of the polynomial, let's do so,

$\bf xy^2+3x^2-7 \begin{cases} x^1y^2\impliedby &1+2\\ &\textit{degree of 3}\\ 3x^2\impliedby &2\\ &\textit{degree of 2}\\ 7\\ 7x^0y^0\impliedby &0+0\\ &\textit{degree of 0} \end{cases}$

so, notice the highest degree for the terms.