How do you determine the degree of a polynomial?

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Solution

Determine the degree of a polynomial:
A degree of the polynomial $f (x)$ is determined by the highest power of $x$ in the polynomial.
For example:
In $f (x) = 3 x^{2} + 2 x + 5 x^{4} + 6$ , the highest power of $x$ is $4$ , so its degree is $4$ .
In $f (x) = 5 x^{3} + 9 x + 13 + 22 x^{6}$ , the highest power of $x$ is $6$ , so its degree is $6$ .
Hence, a degree of the polynomial can be determined in the above-described way.

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