SOLUTION: f(x) is a third degree polynomial having only real coefficients. It has 5 and -i as zeros, and the point (-2,105) lies on the graph. Find f(x)
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Question 415107: f(x) is a third degree polynomial having only real coefficients. It has 5 and -i as zeros, and the point (-2,105) lies on the graph. Find f(x)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
If -i is a zero, then so is i, its complex conjugate. Hence
.
Solve for c :
==> c(-7)(5) = 105 ==> c = -3.
Therefore
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