SOLUTION: Find a polynomial P(x) of degree 4 with zeros 2,2, 1-√3i, and with constant coefficient of 32.
Note: The third zero is one minus radical 3 times i. Which is an imaginary n
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-> SOLUTION: Find a polynomial P(x) of degree 4 with zeros 2,2, 1-√3i, and with constant coefficient of 32.
Note: The third zero is one minus radical 3 times i. Which is an imaginary n
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Question 253571: Find a polynomial P(x) of degree 4 with zeros 2,2, 1-√3i, and with constant coefficient of 32.
Note: The third zero is one minus radical 3 times i. Which is an imaginary number known as radical negative one.
I am only given 3 zeros but I don't know the fourth zero! Can I assume the fourth zero is just x?
I tried doing the problem:
P(x)= 32 (x-2) (x-2) [x- (1-√3i)]
I got stuck from here. Please help me! Thank you for your time!
You can put this solution on YOUR website! We have 2 zeros at 2 and 2.
The third zero is
The fourth zero is the conjugat of this which is
Remember: imaginaries always occur in pairs.
So, we have
The product of these factors is and then
But we wanted 32 as the constant, so multiply by 4 to get
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