Question

26) If alpha and beta are the zeros of quadratic polynomial x2 - 5x + 3, find a quadratic polynomial whose zeros are one by alpha and one by beta​

Answer 1

Answer:

3x^2-5x+1=0

Step-by-step explanation:

x^2-5x+3=0, α,β are the zeros of polynomial. Then α+β=5,αβ=3

1/α ,1/β are zeros for

x^2-(1/α +1/β)x+(1/αβ)=0

=1/α+1/β=α+β/αβ=5/3

1/αβ=1/3

Therefore the required eqn is

=3x^2-5x+1=0