1. The problem statement, all variables and given/known data For a cubic polynomial P(x), with real coefficients, P(2+i)=0, P(1)=0 and P(0)=10. Express P(x) in the form P(x)=ax^3+bx^2+cx+d and solve the equation P(x)=0 2. Relevant equations The conjugate factor theorem 3. The attempt at a solution Using remainder theorem When P(2+i) = 0, P(2+i)=a(2+i)^3+b(2+i)^2+c(2+i)+d 0=2a+3b+2c+d+11ai+4bi+ci P(1)=0 0= a+b+c+d P(0)=10 d=10 P(2-i)=0 <--- according to the conjugate theorem P(2-i) =0 0= 2a+3b+2c+d-11ai-4bi-ci I have trouble solving this through simultaneous equations. Is there another method?