Question

What is the degree of the polynomial $x^2{y}^4+x{y}^3+x^{2}y+xy+5?$

• A. 4
• B. 5
• C. 6
• D. 7

Answer 1

The correct option is C 6

The degree of the polynomial is the highest exponent of the variables in the polynomial.

In the given polynomial, the sum of exponents of variables in each term is as follows:
(a) $\text{For}{x}^2{y}^4,\text{it is}2+4=6$
(b) $\text{For}x{y}^3,\text{it is}1+3=4$
(c) $\text{For}{x}^{2}y,\text{it is}2+1=3$
(d) $\text{For}xy,\text{it is}1+1=2$
(e) $\text{For}5,\text{it is}0$

$\therefore$ Degree is 6.