Question

if α and β are the zeros of 4x² - 5x +1 , form a quadratic polynomial whose
zeros are 2α and 2β

Answer 1

(2α)*(2β) = c/a = 4αβ = 4*c/a = 4* +1/4 =1

2α + 2β = -b/a = 2 (α+β) = 2* - -5/4 = 5/2

so :

2x^2 -5x + 2