# We need to determine if x-5 is a factor of 2x^{3} - 4x^{2} - 7x - 10

Factors and multiples
We need to determine if $$x-5$$ is a factor of $$2x^{3} - 4x^{2} - 7x - 10$$

Simply plug in $$x=5$$ to the equation I found $$x=5$$ by doing this: $$(x-5)=0$$,
$$x= 5 2(5)^{3}-4(4)^{2}-7(5)-10=0$$
If this is true then $$x-5$$ is a factor.
They are not equal so $$x-5$$ is not a factor.