Solution:
We find that is a quadratic polynomial having and as its two zeros.
.where is a positive constant.
..(i)
where is a constant .
It is given that and .
Hence, .
Let be a polynomial of degree three that has a local maximum value 8 at . and a local minimum value 4 at , then is equal to
We find that is a quadratic polynomial having and as its two zeros.
.where is a positive constant.
..(i)
where is a constant .
It is given that and .
Hence, .