Question

find the quadratic polynomial whose sum and product of its zeroes are 2/3 and -1/3 respectively​

Answer 1

HELLO

x² - (sum of zeros)x + (product of Zeros) =0

${x}^{2} - \frac{2}{3} x \: - \frac{1 }{3} = 0 \\ \\ 3 {x}^{2} - 2x \: - 1 = 0$

Answer 2

Sum of zeroes = 2/3

product of zeroes = -1/3

So by formula of quadratic polynomial:-

x^2-(Sum of zeroes)x+(Product of zeroes)

x^2-2/3x-1/3

3x^2-2x-1.