If the zeroes of the polynomial x^3 - 3x^2+x+1 are a-b, a, a+b, find a and b (or) what is the value of a and b?
1 Answer
Explanation:
As coefficient of highest power
=
Now let us compare coefficients of similar powers on each side. First comparing sum of roots from coefficient of
Also coefficients of
i.e.
and as
Further, products of roots is
and as
Hence,
Note that the two values of