Degree of the polynomial

Question:

Degree of the polynomial $4 x^{4}+0 x^{3}+0 x^{5}+5 x+7$ is

(a) 4

(b) 5

(c) 3

(d) 7

Solution:

(a) Degree of $4 x^{4}+0 x^{3}+0 x^{5}+5 x+7$ is equal to the highest power of variable $x$. Here, the highest power of $x$ is 4 ,

Hence, the degree of a polynomial is 4 .

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