SOLUTION: Given P(x)= x^4-2x^3+7x^2-18x-18 These are the question i need help with A)show that -3i is a root of P(x) B)Factor P(x) into linear factors

Question 270279: Given P(x)= x^4-2x^3+7x^2-18x-18
These are the question i need help with
A)show that -3i is a root of P(x)
B)Factor P(x) into linear factors
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hints:

A) Simply plug in and show that doing so will result in 0. In other words, show that

B) Since -3i is a root, 3i is also a root. This means that is a factor. Now use to factor (use polynomial long division) into two quadratics. Factor the resulting quadratic further if possible.
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