Write the degree of each of the following polynomials.

Question:

Write the degree of each of the following polynomials.

(i) 2x2 + 5x2 − 7

(ii) 5x2 − 3x + 2

(iii) 2x + x2 − 8

(iv) $\frac{1}{2} y^{7}-12 y^{6}+48 y^{5}-10$

(v) 3x3 + 1

(vi) 5

(vii) 20x3 + 12x2y2 − 10y2 + 20

Solution:

(i) Correction : It is $2 \mathrm{x}^{3}+5 \mathrm{x}^{2}-7$ instead of $2 \mathrm{x}^{2}+5 \mathrm{x}^{2}-7$.

The degree of the polymonial $2 \mathrm{x}^{3}+5 \mathrm{x}^{2}-7$ is 3 .

(ii) The degree of the polymonial $5 x^{2}-35 x+2$ is 2 .

(iii) The degree of the polymonial $2 \mathrm{x}+\mathrm{x}^{2}-8$ is 2 .

(iv) The degree of the polymonial $\frac{1}{2} \mathrm{y}^{7}-12 \mathrm{y}^{6}+48 \mathrm{y}^{5}-10$ is 7 .

(v) The degree of the polymonial $3 \mathrm{x}^{3}+1$ is 3 .

(vi) 5 is a constant polynomial and its degree is 0 .

(vii) The degree of the polymonial $20 \mathrm{x}^{3}+12 \mathrm{x}^{2} \mathrm{y}^{2}-10 \mathrm{y}^{2}+20$ is 4 .

 

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