Question

If alpha and beta are the zeros of polynomial then find the quadratic polynomial whose zeros are 2 alpha and 2 Beta

Answer 1

the quadratic equation is
x^2 +7x + 10

we know that

quadratic equation are in the form of

ax^2+bx+c=0

then the
sum of zeros is = -b/a
product of zeros = c/a

after putting in the values you will get two equation in terms of alpha and beta

solve them you will get two values of alpha and beta

alpha= -5 or -2
beta= -5 or -2

then put the value of two alpha and two beta in this equation

x^2+(-(2*alpha + 2 beta)+(2alpha*2beta)

hope this is the answer