Question

find a quadratic polynomial if the sum of the zeroes is 1/5 and product of the zeroes is 2/3

Answer 1

Answer:

general form is x²-(sum of roots)x +product of roots

Step-by-step explanation:

x²-x/5+2/3

take LCM

forget about denominator

The value on numerator is the required answer

Answer 2

Answer:

Using identity

-x²+(α+β)x-αβ

given

α+β = 1/5

αβ = 2/3

then

-x²+1/5*x -2/3

=

(-15x²+3x-10)/15 = 0

(-15x²+3x-10)(-1)= 0 ×(-1)

15x²-3x+10

hope it helps