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Find a quadratic polynomial, the sum and product of whose zeroes are \(- 2\sqrt{3}\) and \(-9\), respectively. Also, find its zeroes of the polynomial by factorisation.
Answer:
Quadratic polynomial \(=\)
The zeroes are and .
Answer variants:
\(x^2 + 2 \sqrt{3}x - 9\)
\(x = -3 \sqrt{3}\)
\(x = -\sqrt{3}\)
\(x^2 - 2 \sqrt{3}x - 9\)
\(x = \sqrt{3}\)
\(x = 3 \sqrt{3}\)
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