UPSKILL MATH PLUS

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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