Question

I have a polynomial p(x)=4x^3+ax^2+bx+3 a,b are real numbers.
Find a and b if one of the zeroes of p(x) is 1-i*sqrt(2).

Answer 1

And I also know that the second zero is 1+i*sqrt(2) because complex zeroes come in pairs.

Answer 2

Substitute both into the equation, you get two equation in terms of a and b solve it and find A and B

Answer 3

ok got it thanks :)