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Find a quadratic polynomial, the sum and product of whose zeroes are \(\frac{-8}{3}\) and \(\frac{4}{3}\), respectively. Also, find its zeroes of the polynomial by factorisation.
 
Answer:
 
Quadratic polynomial \(=\)
 
The zeroes are
and
.
Answer variants:
\(x = -\frac{3}{2}\)
\(x = -\frac{2}{3}\)
\(x = -2\)
\(x^2 +  \frac{8}{3}x + \frac{4}{3}\)
\(x^2 -  \frac{8}{3}x + \frac{4}{3}\)
\(x = 2\)