UPSKILL MATH PLUS

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Find a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.
1. \(\sqrt{2}.\frac{1}{3}\)
 
The required polynomial is
 
2. \(0,\sqrt{5}\)
 
The required polynomial is
Answer variants:
\(3x^2+\sqrt{2}x-1\)
\(x^2+\sqrt{5}\)
\(3x^2-\sqrt{2}x+1\)
\(x^2-\sqrt{5}\)