Write the degree of the following polynomial
$12 + 4 x - 5 x^{2} + 7 x^{6} - 11 x^{4}$

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Solution

The degree of the polynomial is the highest power of any term of the polynomial.
The given algebraic expression is $12 + 4 x - 5 x^{2} + 7 x^{6} - 11 x^{4}$ is a polynomial in $x$ .
The powers of the terms are $0, 1, 2, 4 a n d 6$ . So, the highest power is $6$ .
Hence, the degree of the polynomial is $6$ .

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