SOLUTION: Find the cubic wquation that has -1 adn 2i as roots. Choices
a)y=x cubed - x squared + 4x - 4
b)y=x cubed + x squared - 4x - 4
c)y=x cubed + x squared + 4x + 1
d)y=x cubed + x
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Question 963221: Find the cubic wquation that has -1 adn 2i as roots. Choices
a)y=x cubed - x squared + 4x - 4
b)y=x cubed + x squared - 4x - 4
c)y=x cubed + x squared + 4x + 1
d)y=x cubed + x squared + 4x + 4
e)y=x cubed - x squared + 4x - 1
The book says the answer is D, but I do not understand the steps to get there.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the cubic equation that has and as roots, have also because complex root come always in pairs
now, since we have all roots, we can use zero product rule to see which cubic equation is right answer
....=> so, answer is
or, you can do it this way:
....to find zeros, set and factor completely
solutions:
if =>
if => =>=> or
=> one more time we got that answer is
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