Question

The cubic polynomial p(x)=x³–x has ...... zeros.Select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 0
(b) 1
(c) 2
(d) 3

Answer 1

Ans is option d... (3)

Answer 2

Option ( d ) is correct.

Explanation :

The cubic polynomial p(x) = x³ - x has

3 zeros .


Let p(x) = 0,

x³ - x = 0
=> x( x² - 1 ) = 0

=> x( x+1)(x-1) = 0

x = 0 or x + 1 = 0 or x - 1 = 0

x = 0 or x = -1 or x = 1

Therefore ,

Zeroes of p(x) are 0 , -1 , 1

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