Question

find the quadratic polynomial whose zeros are -2 and 1/3​

Answer 1

Let alpha be - 2 and beta be 1/3

• α + β = - 2 + 1/3 = - 6 + 1 / 3 = - 5/3

• αβ = - 2 x 1/3 = - 2/3

k ( x² - ( α + β ) x + αβ )

k ( x² - ( - 5/3 ) x + ( - 2/3 ) )

LCM = 3

So , 3k ( 3x² + 5 - 2 ) / 3 = 0

3x² + 5x - 2 = 0 ➡ Answer