Question

find a quadratic polynomial with zeros -2and 1/3​

Answer 1

$sum \: of \: zeroes = - 2 + \frac{1}{3}$

$\frac{ - 6 + 1}{3} = \frac{ - 5}{3}$

$product \: of \: zeroes = - 2 \times \frac{1}{3}$

$\frac{ - 2}{3}$

$quadratic \: polynomial$

$x ^{2} + \frac{5}{3} x - \frac{2}{3}$

$\frac{3x ^{2} + 5x - 2 }{3}$

$\frac{1}{3} (3 x^{2} + 5x - 2)$

$3x ^{2} + 5x - 2 \: is \: the \: required \: polynomial$