SOLUTION: I need help with this problem. Write a quadratic equation in the variable x having the given numbers as solutions. 2 only solution. Thank you

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Question 423202: I need help with this problem.
Write a quadratic equation in the variable x having the given numbers as solutions. 2 only solution.
Thank you

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It follows that 2 must be a double root. A useful property of polynomials is that if r is a root, then x-r is a factor of the polynomial. We can express the polynomial in the form C%28x-2%29%5E2+=+C%28x%5E2+-+4x+%2B+4%29+=+Cx%5E2+-+4Cx+%2B+4C where C is a nonzero constant.