Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.
a. Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
b. No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250.
c. Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
d. No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250.