Question

The degree of the polynomial 4$x^2{y}^3$+2$x{y}^3$+3$x^{2}y$ is .

• A. 5
• B. 4
• C. 3
• D. 2

Answer 1

The correct option is A 5

For finding the degree of an expression in more than one variable, we consider the sum of the exponents of the variables in each term and then take the highest of those as the degree of the polynomial.
Here,
the sum of exponents of variables of the term $4x^2{y}^3$ = 2+3= 5,
the sum of exponents of variables of the term $2x{y}^3$ = 1+3= 4,
the sum of exponents of variables of the term $3x^{2}y$ = 2+1= 3.
Hence, the degree of the polynomial is 5.