Question

(1+i) is a root of the equation x^3+2x^2-6x+8=0. find the other roots of the equation

Answer 1

i think 1-i is also root

Answer 2

the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P

Answer 3

I used synthetic division to figure out that 4 is also a root. Which leaves you with a simplified equation of x^2-2x+2. But idk how to simplify that equation

Answer 4

Would you plug it into the quadratic to get 1-i?