Question

Find a quadratic polynomial if the zeroes of it are 2and -1/3 respectively

Answer 1

(x-2)(x+1/3) =(x2-5/3x-2/3) is the quardratic polynomial

Answer 2

given zeros= 2, -1/3

then,
a general quadratic polynomial with roots a and b is
x^2-(α+β)x+αβ

here,
a=α, β=-1/3

by substituting values of α and β, we have,

x^2 -(α+β)x +αβ

x^2 -(2 - 1/3)x + (2)(-1/3)

x^2 - 5/3x -2/3

or

3x^2 -5x -2.
hope it helps.