Question

The degree of the polynomial $a{c}^8+3a{b}^2{c}^5+21$ is

• A. 8
• B. 9
• C. 5
• D. 10

Answer 1

The correct option is B

9

We see that the polynomial given is a polynomial in three variables($a,b$ and $c$). The terms here are $a{c}^8$, $3a{b}^2{c}^5$ and $21$.

The sum of powers of the variables in $a{c}^8$ is 1+8=9.

The sum of powers of the variables in $3a{b}^2{c}^5$ is 1+2+5=8.

The sum of powers of the variables in $21$ is 0.

9, being the greatest of these sums, is the degree of the given polynomial.