Which of the binomials below is a factor of this trinomial? x2 - 10x + 24 a. x + 4 b. x - 3 c. x - 4 d. x + 3

Option (c) is correct.

(x-4) is a factor of given trinomial.

Step-by-step explanation:

Consider the give trinomial

We have to find the factors of given binomial and choose the correct one from the given options.

Consider the given polynomial

We will simplify the given quadratic equation using middle term split method,

-10x can be written as -4x-6x

Such that the product of term will give the product of the remaning terms,

Thus, the given trinomial becomes,

Taking x common from first two terms and -6 common from last two terms, we have,

Thus,  take (x-4) common , we have,

Thus, out of given factors (x-4) is a factor of given trinomial.