Find a quadratic polynomial, the sum and product of whose zeroes are \(0\) and \(-16\), respectively. Also, find its zeroes of the polynomial by factorisation.
Answer:
Quadratic polynomial \(=\)
The zeroes are and .
Answer variants:
\(x^2 +8x +12\)
\(x = -3 \sqrt{3}\)
\(x = -2\)
\(x = 3 \sqrt{3}\)
\(x^2 - 2 \sqrt{3}x - 9\)
\(x = -6\)