Question

What is the polynomial with three zeros 0, – 1, 1 ?
(A) x2– x
(B) x3 – x
(C) x3– x2
(D) x3 + x​

Answer 1

→ x³ - x is the correct answer .

Answer 2

Since 0, - 1, and + 1 are the zeroes of the polynomial, so we can say that, (x - 0), (x - (-1)), and (x - (+1)) are the factors.

Or, x, x + 1 and x - 1 are the factors, if further simplified.

Therefore,

x(x + 1)(x - 1)

= x(x² - 1)

= x³ - x (B).