SOLUTION: Determine the quadratic equation with integral coefficients having the roots:
2 + √ 7 and 2 - √ 7
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Question 656860: Determine the quadratic equation with integral coefficients having the roots:
2 + √ 7 and 2 - √ 7
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If 
is a zero of a quadratic polynomial, then 
is a factor of the polynomial. Find your quadratic by multiplying the two factors:
\right)\left(x\ -\ (2\ -\ \sqrt{7})\right))
Hint: Do the multiplication as if you were doing (x\ -\ b))
treating 
as and 
as 
, and remembering the product of a conjuate pair (the "L" part of the FOIL process here) is the difference of two squares.
John
My calculator said it, I believe it, that settles it
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