SOLUTION: givn one zero, find all other zeros that can be either real or complex. p(x)=x^4-x^3+7x^2-9x-18 (3i is a zero)

SOLUTION: givn one zero, find all other zeros that can be either real or complex. p(x)=x^4-x^3+7x^2-9x-18 (3i is a zero)

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Question 236848: givn one zero, find all other zeros that can be either real or complex.
p(x)=x^4-x^3+7x^2-9x-18 (3i is a zero)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Recall that all complex zeros come in conjugate pairs. So -3i is also a zero. Now if , then and . Now just perform polynomial long division to simplify . This will basically factor into two quadratics, which are easily solved by the quadratic formula.
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