Q10 of 64 Page 49

The cubic polynomial p(x) = x3 — x has _____ zeros.

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, x = 1, x = –1


∴ The cubic polynomial has 3 zeros.


The correct option is D.

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