Write the degree of each polynomial given below:
$x^{2} - 6 x^{3} + 8$

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Solution

Degree of a polynomial is the highest degree of the degree of all its terms.
Degree of $x^{2} = 2$
Degree of $- 6 x^{3} = 3$
Degree of $8 = 0$
Hence, degree of the polynomial $x^{2} - 6 x^{3} + 8$ is $3$ .

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Write the degree of each polynomial given below:

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(iii) $y - 6 y^{2} + 5 y^{8}$ (iv) $x y z - 3$

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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

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