List the degree of each term and the degree of the polynomial.
-$4 x^{7} y^{7}-4 x^{2} y^{2}+5 x^{4} y$
A) 7,2,5; polynomial: 7
B) 14, 4, 5; polynomial: 5
C) 49, 4, 5; polynomial: 49
D) 14, 4, 5; polynomial: 14

Question

Quizplus · Accepted Answer

The degree of a term in a polynomial is the sum of the exponents of the variables in the term. For $4x^7y^7$, the degree is $7+7=14$; for $-4x^2y^2$, it's $2+2=4$; and for $5x^4y$, it's $4+1=5$. The degree of the polynomial is the highest degree of any term, which is 14.

List the Degree of Each Term and the Degree of the Polynomial