Find the degree of the polynomial $x^{5} - x^{4} - x + 5$

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Solution

We have,
$x^{5} - x^{4} - x + 5$

Hence, the degree of the polynomial is $5$ .

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Similar questions

The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is:

x^{5} - x^{4} + 3

x^{2} + x - 5

5

3 x^{6} + 6 y^{3} - 7

4 - y^{2}

5 t - \sqrt{3}

Find the polynomial from the given information.

Quotient = x^{3} + 2 x

Divisor = x^{2} + \frac{1}{2} x

Remainder = 5

The degree of the polynomial obtained when $8 - 6 x + x^{2} - 7 x^{3} + x^{5}$ is subtracted from $x^{4} - 6 x^{3} + x^{2} - 3 x + 1$ is

(x + 1) (x^{2} - x - x^{4} + 1)

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