what is a polynomial function in standard form with zeros 1,2,-3,-1

g(x)=x^4+x^3-7x^2-x+6
g(x)=x^4+x^3+7x^2-x+6
g(x)=x^4+x^3-7x^2-x-6
g(x)=x^4-x^3-7x^2-x+6

Question

what is a polynomial function in standard form with zeros 1,2,-3,-1 

g(x)=x^4+x^3-7x^2-x+6
g(x)=x^4+x^3+7x^2-x+6
g(x)=x^4+x^3-7x^2-x-6
g(x)=x^4-x^3-7x^2-x+6

anonymous · Answer

the one that looks like $(x-1)(x-2)(x+3)(x+1)$ after you multiply it out

anonymous · Answer

I'm not sure i understand >.<

anonymous · Answer

since $1$ is a zero, that means one factor is $(x-1)$ because if you replace $x$ by $1$ you get $1-1=0$ 
similarly if $-3$ is a zero, one factor is $(x+3)$ because $-3+3=0$ and so on
write the polynomial in factored form, then multiply out