how to form a cubic polynomial
Hi!
Here is the answer to your query.
The general formula for cubic polynomials is,
f (x) = k{ x 3 – (sum of the roots) x 2 + (sum of the product of roots taken two at a time) x – (product of the roots)}, where k is some constant.
Example:
For a cubic polynomial,
Sum of roots = 5, Sum of the product of roots taken two at a time = 8 and Product of the roots = 3
∴f (x) = k{x 3 – (5) x 2 + (8) x – 3} = k(x 3 – 5 x 2 + 8 x – 3) is the cubic polynomial.
Cheers!