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Degree of a Polynomial

The degree of...

Question

The degree of the polynomial $5 x^{3} - 6 x^{3} y + 4 y^{2} - 8$ is

3

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4

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2

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can't be determined

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Solution

The correct option is A $4$
The highest powers of variables $x$ and $y$ can be seen in the term $- 6 x^{3} y$ .
$∴$ Highest powers of variables is $3 + 1 = 4$ .
$∴$ Degree of polynomial is $4$ .

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{[\frac{2}{\sqrt{5 x^{3} + 1} - \sqrt{5 x^{3} - 1}}]}^{8} + {[\frac{2}{\sqrt{5 x^{3} + 1} + \sqrt{5 x^{3} - 1}}]}^{8}

m

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n

{[\frac{2}{\sqrt{5 x^{3} + 1} - \sqrt{5 x^{3} - 1}}]}^{8} + {[\frac{2}{\sqrt{5 x^{3} + 1} + \sqrt{5 x^{3} - 1}}]}^{8}

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3 y + 4 y^{2}

For the polynomial 5x³-root 7x²+9x-3 write the

1.Degree

2.co efficient of x³

3. Constant term

4. Name of the polynomial based on degree

a = 4

x^{2} + 4 x^{7} - 2 x^{2 a - 3} + 8

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