The degree of polynomial p(x) = x3 + 1 + 2x = 6x + 1/x

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The degree of polynomial p(x) = x³ + 1 + 2x = 6x + 1/x is ?

1. 2
2. 4
3. 3
4. 5

Correct Option: B

x³ + 1 + 2x = 6x + 1/x
x³ + 1 + 2x = (6x² + 1) / x
(x³ + 1 + 2x)x = 6x²2 + 1
x⁴ + x + 2x² - 6x² - 1 = 0
x⁴ - 4x² + x - 1 = 0
Degree of polynomial is highest exponent degree term i. e., 4.