Question

Form the polynomial equation of the lowest degree with roots as $0,0,2,2,-2,-2$.

Answer 1

Given roots of polynomial equation are $0,0,2,2,-2,-2$

The lowest degree polynomial equation will be $(x-0)(x-0)(x-2)(x-2)(x+2)(x+2)=0$

$⟹x^2(x^2-4{)}^2=0⟹x^2(x^4-8x^2+16)=0⟹x^6-8x^4+16x^2=0$