SOLUTION: Thank you for your help solving. Solve x^4 - 2x^3 + 7x^2

SOLUTION: Thank you for your help solving. Solve x^4 - 2x^3 + 7x^2 - 10x + 10 = 0 given that 1 + i is a root.

Question 889313: Thank you for your help solving.
Solve x^4 - 2x^3 + 7x^2 - 10x + 10 = 0 given that 1 + i is a root.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If is a root, then is also a root since complex roots only occur in complex conjugate pairs.

Now use polynomial long division to factor out this polynomial.

.
Symbolically shown here, the divisor turns out to be,

So then,

So the other two roots are also complex,

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