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

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Solution

The correct option is B 5
Let $P (x) = (x + 1) (x^{2} - x - x^{4} + 1)$
$= x^{3} - x^{2} - x^{5} + x + x^{2} - x - x^{4} + 1$
$= x^{3} - x^{5} - x^{4} + 1$
The heighest power of $x$ is $5$ .
Thus, the degree of the given polynomial is 5

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