Simplest polynomial function is
Solution:
Given data:
Zeroes are 3i, –1, 2.
3i is a complex root of the function.
If 3i is a zero of the polynomial then –3i is also a zero of the polynomial.
Therefore zeroes are 3i, –3i –1, 2.
By factor theorem,
If a is zero of the function, then (x – a) is a factor of the polynomial.
So, the factors are (x – 3i), (x + 3i), (x + 1), (x –2).
On multiplying the factors, we get the polynomial.
Since the value of
Simplest polynomial function is