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

Answer 1

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

Answer 2

I'm not sure i understand >.<

Answer 3

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