Question

The number of Real zeroes of polynomial P(x) = x3 - x is ______ .

Answer 1

Answer:

the number of zeros of the given polynomial are 3

as the the degree of the polynomial is 3

I think this is the answer..........I hope it helps you

Answer 2

P(x)=x

3

−x

To find the zeros of P(x), let P(x)=0

⟹x3−x=0

⟹x(x2−1)=0

⟹x(x−1)(x+1)=0

⟹x=0 and x−1=0 and x+1=0

⟹x=0,1,−1 are the zeros of p(x)

Hence, the answer is 3.