Question

If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.

पर्याय

• True

• False

Answer 1

This statement is True.

Explanation:

Let α, β and γ be the zeroes of a cubic polynomial and given that two of the given zeroes have value 0.

Let β = γ = 0 and

p(x) = (x – α)(x – β)(x – γ)

= (x – α)(x – 0)(x – 0)

= x³ – αx²

Which does not have linear and constant terms.