The degree of the polynomial $(x + 1) (x^{2} - x - x^{4} + 1)$ is

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Solution

The correct option is D 5
$(x + 1) (x^{2} - x - x^{4} + 1)$
$= x^{3} - x^{2} - x^{5} + x + x^{2} - x - x^{4} + 1$
$= - x^{5} - x^{4} + x^{3} - x + 1$
So, degree is 5

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