Determine a quadratic polynomial each with the given numbers as the sum and product of its
zeroes respectively.
zeroes respectively.
1. \(\sqrt{3}, \frac{1}{6}\)
The required polynomial is
2. \(0,\sqrt{3}\)
The required polynomial is
Answer variants:
\(x^2+\sqrt{3}\)
\(x^2-\sqrt{3}\)
\(6x^2+6\sqrt{3}x+1\)
\(6x^2-6\sqrt{3}x+1\)