UPSKILL MATH PLUS

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Find a quadratic polynomial, the sum and product of whose zeroes are \sqrt{2} and -\frac{3}{2}, respectively. Also, find its zeroes.
 
Answer:
 
The zeroes are
and
.
Answer variants:
x = -\frac{1}{\sqrt{2}}
x = \frac{3}{\sqrt{2}}
x = -\frac{3}{\sqrt{2}}
x = \frac{1}{\sqrt{2}}