Question

Question 2 (1 point) Which expression is equivalent to 3x² - 10x - 8? O

(3x - 4)(x - 2)
(3x - 4)(x + 2)
(x-4) (3x + 2)
(3x-2)(x-4) ​

Answer 1

`(x - 4)(3x + 2)`

Explanation:

Applying the Double Bubble Method to factorize the quadratic expression shown below:

`3x^(2) - 10x - 8`

Multiplying 3 and 8 gives 24. Write down the complete list of the pair of factors of 24. Choose the best suitable pair that would add/subtract to give 10. The pair of factors chosen are 12 and 2. Thus, these two factors will help rewrite '
`-10x`’:

`3x^(2) - 12x + 2x - 8`

Then factorize by grouping:

`3x(x - 4) + 2(x - 4)`

The common factor expression
`(x - 4)` will be extracted out:

`(x - 4)(3x + 2)`

∴Option C