Find the degree of the polynomial given below:
$x^{5} - x^{4} + 3$

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Solution

We know that the degree is the value of the greatest exponent of expression (except the constant ) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial.
In polynomial $x^{5} - x^{4} + 3$
The value of the largest exponent is $5$ since the first term is largest exponent
Then degree is $5$

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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}

x^{4} - 3 x^{2} + x y + 4

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

Find the polynomial from the given information.

Quotient = x^{3} + 2 x

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

Remainder = 5

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