Question

Write the degree of the following polynomial:

$\left(y^3-2\right)\left(y^2+11\right)$

Answer 1

Determine the degree of the given polynomial.

The highest degree of all terms that appear with non-zero coefficients in a polynomial is called the degree of the polynomial.

1. The highest power of $y$ in $\left(y^3-2\right)$ is $3$.
2. The highest power of $y$ in $\left(y^2+11\right)$ is $2$.
3. The highest power of $y$ in $\left(y^3-2\right)\left(y^2+11\right)$ is $3+2=5$.

Hence, the degree of the given polynomial is $5$.