Question

Which is a factor of 24x2 − 44x + 12? 3 3x + 3 3x − 2 2x − 3

Answer 1

24x²-44x+12 = 4(2x-3)(3x-1)

2x − 3

Answer 2

Answer:

D) 2x − 3.

Step-by-step explanation:

Given:  24x² − 44x + 12.

To find : Which is a factor .

Solution : We have given

24x² − 44x + 12.

On taking 4 common to all

4 (  6x² − 11x + 3).

Now Factor the term

6x² − 11x + 3.

6x² −9x - 2x + 3

On taking common 3x from first two terms and -1 from last two terms .

3x ( 2x -3) -1 ( 2x - 3).

On grouping

(3x -1) ( 2x -3)

4 (3x -1) ( 2x -3) all are factors .

Therefore, D) 2x − 3.