The degree of polynomial p(x) = x 3 + 1 + 2x = 6x + 1/x is?

Q: The degree of polynomial p(x) = x 3 + 1 + 2x = 6x + 1/x is?

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.

2
4
3
5

Correct Answer: 4

Explanation:

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.

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