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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