Is x + 10 a factor the function f (x) = x^3-75x+250

If x+10 was a factor of f (x), then x = - 10 would lead to f (x) = 0. This is because we set x+10 equal to zero and solve for x.

Plug x = - 10 into f (x). Let's see what result we get. If the result is 0, then x+10 is a factor.

f (x) = x^3 - 75x + 250

f (-10) = (-10) ^3 - 75 (-10) + 250

f (-10) = - 1000 + 750 + 250

f (-10) = - 250 + 250

f (-10) = 0

Answer: Yes x+10 is a factor of f (x)