Question

if alpha and beta are the zeroes of the quadratic pynomual f(x)=x²-4 find the a quadractic polynomial whose zeroes are 2alpha/beta and 2beta/alpha​

Answer 1

If alpha and beta are the zeroes of x²-1 then find a ... x^2-(sum of the zeroes)x+product of the zeroes ... the quadratic polynomial for the zeroes \frac{2\ alpha}{\beta} ...

Answer 2

Answer:

Step-by-step explanation:

alpha =2

beta=-2

sum of zeroes=-b/a=-2+-2=-4

product of zeroes=c/a=4

polynomial is x^2+4x+4