Find the degree of the polynomial.
-$x^{2} y-x^{4}+5 x y-7$
A) 3
B) 7
C) 4
D) 2

Question

Quizplus · Accepted Answer

The degree of a polynomial is the highest degree of its monomials (individual terms) when added together. For the given polynomial $x^{2} y-x^{4}+5 x y-7$, the degrees of the individual terms are as follows: $x^{2}y$ has a degree of 3 ($2+1$), $x^{4}$ has a degree of 4, $5xy$ has a degree of 2 ($1+1$), and $-7$ (a constant) has a degree of 0. Therefore, the highest degree among these terms is 4, making the degree of the polynomial 4.

Find the Degree of the Polynomial x2y−x4+5xy−7x^{2} y-x^{4}+5 x y-7x2y−x4+5xy−7 A) 3 B) 7 C) 4 D) 2

Find the Degree of the Polynomial $x^{2} y-x^{4}+5 x y-7$ A) 3
B) 7
C) 4
D) 2