Question

The degree of the polynomial $5x+x{y}^2-10yz$ is

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is C 3

The degree of a polynomial is the greatest of the sum of the powers (exponents) of the variables used in the various terms of the given polynomial:
The terms in the given polynomial are $5x$; $x{y}^2$ and $10yz$
The sum of powers of variables in $5x$ = 1
The sum of powers of variables in $x{y}^2$ = 1+2 = 3
The sum of powers of variables in $10yz$ = 1+1 = 2
Hence the degree of the polynomial = 3