SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros −6 and 1 + i. my answer x(x+6)(x-(1+i)) but it's incorrect

SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros −6 and 1 + i. my answer x(x+6)(x-(1+i)) but it's incorrect

Algebra.Com

Question 814091: Find a polynomial with integer coefficients that satisfies the given conditions.
Q has degree 3 and zeros
−6 and 1 + i.

my answer x(x+6)(x-(1+i)) but it's incorrect
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
it should be:
(x+6)(x-1+i)(x-1-i)
then just expand
to get
Q(x)=x^3+4x^2-10x+12
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