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