What is the sum of the degrees of the polynomial $p (x) = x^{3} + 4 x + 2$ and $q (x) = x^{2} + 2 x + 5$ ?

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Solution

The correct option is C 5
The degree of a polynomial is the highest power of the variable term.

For $p (x) = x^{3} + 4 x + 2$ , degree = 3
For $q (x) = x^{2} + 2 x + 5$ , degree = 2

$∴$ Sum of degrees = 2 + 3 = 5

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