Question

The degree of the polynomial $x^2-5x^2{y}^3+30x^3{y}^4-576xy$ is ____

• A. $-576$
• B. $4$
• C. $5$
• D. $7$

Answer 1

The correct option is D $7$

Given polynomial is $x^2-5x^2{y}^3+30x^3{y}^4-576xy$

The degree of a polynomial is the highest power of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials.

The power of a term is the sum of the exponents of the variables that appear in it.

Then, degree of equation $x^2-5x^2{y}^3+30x^3{y}^4-576xy$ is $3+4=7$

Hence, D is correct.