is -2 a zero of the function ? P(x)=x^3-x^2-4x+14
Is -2 a zero of the function ? P(x)=x^3-x^2-4x+14
If -2 is a zero then P(-2)=0
lets see if it works
$$P(-2)=(-2)^3-(-2)^2-4*-2+14=-8-4+8+14=10 \ne0$$
SO -2 is not a zero.
EXTRA INFO
this means that (x+2) IS NOT a factor of P(x)