Question

How do you determine the degree of a polynomial?

Answer 1

Determine the degree of a polynomial:

A degree of the polynomial $\mathrm{f}\left(\mathrm{x}\right)$ is determined by the highest power of $\mathrm{x}$ in the polynomial.

For example:

1. In $\mathrm{f}\left(\mathrm{x}\right)=3{\mathrm{x}}^2+2\mathrm{x}+5{\mathrm{x}}^4+6$, the highest power of $\mathrm{x}$ is $4$, so its degree is $4$.
2. In $\mathrm{f}\left(\mathrm{x}\right)=5{\mathrm{x}}^3+9\mathrm{x}+13+22{\mathrm{x}}^6$, the highest power of $\mathrm{x}$ is $6$, so its degree is $6$.

Hence, a degree of the polynomial can be determined in the above-described way.