Write the degree of each polynomial given below:

$y - 6 y^{2} + 5 y^{8}$

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Solution

Step 1: Find the degree of the given polynomial

Given polynomial is $y - 6 y^{2} + 5 y^{8}$

The power of the variables in the term $y = 1$

The power of the variable in the term $- 6 y^{2} = 2$

The power of the variable in the term $5 y^{8} = 8$

$∴$ Degree $= 8$

Hence, the degree of the polynomial $y - 6 y^{2} + 5 y^{8}$ is $8$

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Similar questions

Write the degree of each polynomial given below:

(i) $x y + 7 z$ (ii) $x^{2} - 6 x^{3} + 8$

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

(v) $x y + y z^{2} - z x^{3}$ (vi) $x^{5} y^{7} - 8 x^{3} y^{8} + 10 x^{4} y^{4} z^{4}$

x y z - 3

x^{2} - 6 x^{3} + 8

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