Which of the binomials below is a factor of this trinomial? 4x2 + 20x - 24 a. x + 4 b. x + 1 c. x - 1 d. x - 4

 the correct option is (C) x - 1.

Step-by-step explanation:  We are given to select the correct binomial that is a factor of the following trinomial :

To select the factor, we need to factorize expression (i). To factorize, we need two integers with sum 20 and product -96.

From (i), we have

So, the factors of the given trinomial are 4, (x + 6) and (x - 1).

Since 4 and ( x + 6) are not in the options, so (x - 1),  is the correct binomial.

Thus, (C) is the correct option.