Question

How do you write a polynomial function given the real zeroes 2,-2,-6i and coefficient 1?

Answer 1

`(x-2)(x+2)(x+6i)=(x^2-4)(x+6i)=x^3+6ix^2-4x-24i`

Explanation:

Generally if a polynomial function with grade n has zeroes `x_1,x_2,...,x_n` then `P(x)=a(x-x_1)(x-x_2)...(x-x_n)`
where a is the coefficient of `x^n`