SOLUTION: How do you write a polynomial expression with a leading coefficient of one and that has zeros of two(multiplicity of two) and imaginary number

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Question 231447: How do you write a polynomial expression with a leading coefficient of one and that has zeros of two(multiplicity of two) and imaginary number
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
As examples, the expression x^2 -4x+4 has zeros (muliplicity 2) at x=2. The expression x^2 +4 has imaginary numbers for its zeros.

In general, the polynomial expression ax^2 +bx +c has multiply roots if b%5E2-4ac=0. It has imaginary roots if b%5E2+-4ac%3C0.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus