Identify the polynomial and mention their degrees.
$x^{7} + 6 x^{5} + 4 x^{3} + 10$

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Solution

In a polynomial exponent of all the variables must be in a whole number.
So, $x^{7} + 6 x^{5} + 4 x^{3} + 10$ is a polynomial as it has exponents in whole number.
The degree of a polynomial is the highest power of a variable.
Here, in $x^{7} + 6 x^{5} + 4 x^{3} + 10$ the highest power of variable $x$ is $7 .$
Hence, the expression $x^{7} + 6 x^{5} + 4 x^{3} + 10$ is a polynomial and its degree is $7$

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