10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

If two of the zeroes of a cubic polynomial are zero, then it does not have:

A) linear

B) quadratic

C) cubic

D) None of these

Correct Answer: A

Solution :

[a] Given two of the zeroes of a cubic polynomial are zero.

Let \[\alpha ,\beta \] and \[\gamma \] be the zeroes of a cubic polynomial

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\alpha =\beta =0\]

Now, \[\alpha \beta \gamma =-\frac{\text{Constant term}~~}{\text{Coefficient of}\,\,{{x}^{2}}}=0\times \gamma =0\]

\[\Rightarrow \] Constant term = 0 provided, coefficient of \[{{x}^{2}}\ne 0\].

So, cubic polynomial does not have linear.