Question

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

@SolomonZelman

Answer 2

@iambatman

Answer 3

A polynomial with zeroes a,b,c...z looks typically like:
f(x)=(x-a)(x-b)(x-c)....(x-z).
You could put an optional multiplicative constant but that wont change the zeroes.
Example:
f(x)=(x-2)(x-4) has roots x=2 and x=4.
Multiply them out gives
f(x)=x^2-6x+8