Question

if zeros of the polynomial x³-3x²-6x+8 are of form a-b,a,a+b find all other zeros​

Answer 1

sum of all zeros of a cubic polinomial is equal to -b/a when it is in the form of a x3+bx2+cx+d

then a-b+a+a+b=3 then a=1 and product of a cubic polinomial is-d/a. then a-b*a*a+b=-8. then1-b*1*1+b=-8 at last 1-b2=-8 then value of b=3 so roots are -2,1,4