Question 475016: Find a polynomial, step by step, having real coefficients, with the degree and zeroes indicated: degree 3, x = -5, x = -3i. The lead coefficient is 1.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi, Note highlighted for previous typo
Find a polynomial, step by step, having real coefficients,
with the degree and zeroes indicated:
degree 3, x = -5, x = -3i. The lead coefficient is 1.
Note:if a quadratic polynomial has complex roots,
they will always be a complex conjugate pair!
that is: root x = -3i will be accompanied by root x = 3i
(x+3i)(x-3i) = x^2 + 9 |i^2 = -1
AND...
( )(x^2 + 9) = x^3 + 5x^2 + 9x + 45
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