Class 10 Math All topics Polynomials
Given that the zeroes of the cubic polynomial are of the form for some real numbers and , find the values of and .
Solution: Given cubic polynomial is 



The zeros of the polynomial  are of the form , and  
Then,
   


    ----------------(i)

Also,  

 ----(ii)

and  


From (i),

Putting this value in (ii), we get










 or  
or   respectively

From equation (iii), we get
at ,



which is true.
and at , , we have




 which is not true.

Thus, ,
Zeros of the polynomial are , , ie ,,

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Similar topics
introduction to trigonometry
functions
some applications of trigonometry
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widgit image
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
play store logo
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introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
surface areas and volumes