Question

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

Answer 1

4x²+20x-24
Simplify by 4:
x²+5x-6
(x+6)(x-1)

The answer is x-1.

Answer 2

Answer: 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 :

`T=4x^2+20x-24~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`T\\\\=4x^2+20x-24\\\\=4x^2+24x-4x-24\\\\=4x(x+6)-4(x+6)\\\\=(x+6)(4x-4)\\\\=4(x+6)(x-1).`

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.