Question

.find the numbers of polynomial having zeros -3 and 7​

Answer 1

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

x^2-(-3+7) x +(-3 *7)

x^2+4x-21

so if we multiply ani constant no. with this f(x) then we can say that the zeroes of this f(x) and the new polynomial that obtain are same

from this we can conclude that the no. of zeros are infinite

hope you understand this