Question

Which expression is equivalent to the given expression?2x^2 – 14r + 24A. (2x – 12) (x - 2)B. 2(x – 3)(x – 4)C. 2(x - 5)(x - 2)D. 2(x – 8) (x + 3)

Answer 1

Step 1: We have the following expression:

$2x^2\text{ }-\text{ 14x + 24}$

Step 2: Fon finding the equivalent expression, we have to factoring the polynomial, this way:

$2(x^2\text{ - 7x + 12)}$

Step 3: Now we have to find two integer numbers that the result of adding them is - 7 and the result of multipliying them is 12

First number: -4

Second number: -3

Therefore, we have now:

2 (x - 4) (x - 3)

Step 4