Which of the following is a factor of f(x) = 5x3 + 24x2 − 75x + 14?
(x + 1 over 2)
(x − 1 over 2)
(x + 2)
(x − 2)

(x-2) is a factor of the function.

Step-by-step explanation:

Given function is,

As when we equate any factor of a polynomial to zero, the value of x we get is the zero of the polynomial.

So equating all the options to 0, we get

If x is a zero of a polynomial, then after putting the value of x in the polynomial, it becomes 0.

So,

So, (x-2) is a factor of the function.