10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

If two zeroes of \[{{x}^{3}}+{{x}^{2}}-3x-3\]are \[\sqrt{3}\] and \[-\sqrt{3},\] then its third zero is:

A) 1

B) -1

C) 2

D) -2

Correct Answer: B

Solution :

[b] Let the third zero of the polynomial \[{{x}^{3}}+{{x}^{2}}-3x-3\]be \[\alpha .\]

\[\therefore \] Sum of zeroes \[=\alpha +\sqrt{3}-\sqrt{3}=\frac{-1}{1}=-1\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\alpha =-1\]