Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. Yes. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is zero. Therefore, x − 8 is a factor of f(x) = −2x3 + 17x2 − 64. No. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is zero. Therefore, x − 8 is not a factor of f(x) = −2x3 + 17x2 − 64. Yes. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is not zero. Therefore, x − 8 is a factor of f(x) = −2x3 + 17x2 − 64. No. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is not zero. Therefore, x − 8 is not a factor of f(x) = −2x3 + 17x2 − 64.