Find the zeroes of the polynomial \(r^2 + \frac{1}{3}r - \frac{2}{9}\), and verify the relation between the coefficients and the zeroes of the polynomial.
 
Answer:
 
The zeroes are
and
.
 
Sum of the zeroes \(=\)
 
Product of the zeroes \(=\)
Answer variants:
coefficientofrcoefficientofr2=13
constantcoefficientofr2=15
\( r = -\frac{3}{18}\)
\( r = \frac{-2}{3}\)
coefficientofrcoefficientofr2=120
\( r = \frac{1}{3}\)
constantcoefficientofr2=-29
\(r = \frac{4}{18}\)