PLEASE HELP! find a 5th degree polynomial function f(x) with integer coefficients whose zeros are 1±2sqrt3, -2 and 0 where 0 is a zero of multiplicity 2. write the polynomial in the form asubnx^2+asub(n-1)x^(n-1)+...asub1x+a0

i understand that there should be x^2(x+2) but i'm confused with the negative signs of 1±2sqrt 3... should it be (x-1-2sqrt3) and (x-1+2sqrt3)?? or (x-1+2sqrt3) and (x+1-2sqrt3) ???

Question

PLEASE HELP! find a 5th degree polynomial function f(x) with integer coefficients whose zeros are 1±2sqrt3, -2 and 0 where 0 is a zero of multiplicity 2. write the polynomial in the form asubnx^2+asub(n-1)x^(n-1)+...asub1x+a0 

i understand that there should be x^2(x+2) but i'm confused with the negative signs of 1±2sqrt 3... should it be (x-1-2sqrt3) and (x-1+2sqrt3)?? or (x-1+2sqrt3) and (x+1-2sqrt3) ???

anonymous · Answer

please explain tooo!!:(

hartnn · Answer

ok , when the roots are $a\pm \sqrt b$ then the factors are (x-a+$\sqrt b$) and (x-a-$\sqrt b$). does this help ?

hartnn · Answer

@dydlf so your first try was correct.

anonymous · Answer

thank you @hartnn !!!!!!!