Q. 1 D5.0( 4 Votes )

Find the number o

Answer :

Here, p(x) = x3 — x


To find the zeros of p(x), consider p(x) = 0


x3 – x = 0


x (x2 – 1) = 0


x (x – 1) (x + 1) = 0 Using the identity: (a2 – b2) = (a – b) (a + b)


x = 0 or x = –1 or x = 1


0, –1 and 1 are the zeros of p(x).


Thus, the number of zeros of the given polynomial is 3.


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