SOLUTION: Write a polynomial function of least degree with rational coefficients so that ​P(x)=0 has the given roots 5-3i

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Question 1153992: Write a polynomial function of least degree with rational coefficients so that ​P(x)=0 has the given roots 5-3i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

P%28x%29=0 has the given roots 5-3i=> complex roots always come in pairs, so you also have 5%2B3i
P%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29
P%28x%29=%28x-%285-3i%29%29%28x-%285%2B3i%29%29
P%28x%29=%28x-5%2B3i%29%28x-5-3i%29
P%28x%29=x%5E2+-+10x+%2B+34