1.

Which of the following expressions is a polynomial? Find the degree and zeroes of the polynomial.(i) x/2 + 2/x (ii) x2 +2x

Answer»

In the above expressions, only the second one has a positive power, unlike others.

∴ It is the only polynomial.

Equating the expression with 0,

x2 + 2x = 0

x ( x+2) = 0

∴ x = 0 or x + 2 = 0

x = 0 or x = -2

The zeroes of the polynomial x2 +2x are 2 & -2, having a degree of 2, being the highest power of the terms in the same expression.



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