The 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

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Solution

The correct option is A: 4.
$4 x^{4} + 0 x^{3} + 0 x^{5} + 5 x + 7 = 4 x^{4} + 5 x + 7$
The degree of $4 x^{4} + 0 x^{3} + 0 x^{5} + 5 x + 7$ is equal to the highest power of variable x in the non-zero term.
Here, the highest power of x in the term $4 x^{4}$ is 4.
Hence, the degree of a polynomial is 4.

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