Question

Which of the following is a polynomial? Find its degree and the zeroes.

2 - 1/2 x²

Answer 1

The highest power is 2, so the degree is also 2.

Equating the expression with 0,

x² = 4

∴ x = ±2

Yes, the above expression is a polynomial, as it has no negative powers in any of the terms and its zeroes are 2 & -2.