Asked by Chelsea
Use the given root to find the solution set of the polynomial equation.
x^3 + 8x^2 -18x +20= 0 ; 1+i
x^3 + 8x^2 -18x +20= 0 ; 1+i
Answers
Answered by
Steve
If 1+i is a root, so is 1-i
So, (x-(1+i))(x-(1-i)) divides the cubic polynomial
(x^2-2x+2)(x+10) = 0
so, the roots are 1+i, 1-i, -10
So, (x-(1+i))(x-(1-i)) divides the cubic polynomial
(x^2-2x+2)(x+10) = 0
so, the roots are 1+i, 1-i, -10
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