10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is:

A) \[{{x}^{2}}-6x+2\]

B) \[{{x}^{2}}-36\]

C) \[{{x}^{2}}-6\]

D) \[{{x}^{2}}-3\]

Correct Answer: B

Solution :

Sum of zeroes \[(\alpha +\beta )=0\]

One zero \[(\alpha )=6\]

\[\therefore \,\,\,\,\,\,\beta =0-6=-6\]

\[{{x}^{2}}-(\text{Sum of zeroes})x+\text{Product of zeroes }=\text{ }0\] \[{{x}^{2}}-0x+6\times (-6)=0\]

\[{{x}^{2}}-36=0\]

So, option [b] is correct.