Question

Factorize 6x² - 22x - 8a.

1) 2(3x + 1)(x - 4)
2) 2(3x - 1)(x + 4)
3) (3x + 1)(2x - 4)
4) 2(3x - 1)(x - 4)

Answer 1

To factorize the expression 6x² - 22x - 8a, use the grouping method. The factorization is 2(3x - 4)(x + 1).

Step-by-step explanation:

To factorize the expression 6x² - 22x - 8a, we can use the grouping method. Here are the steps:

1. Step 1: Find the common factor of the first two terms and the common factor of the last two terms.
2. Step 2: Factor out the common factor from each pair of terms.
3. Step 3: Look for a common factor in the resulting binomials and factor it out.

Applying the steps to the given expression, we have:

6x² - 22x - 8a = 2(3x - 4)(x + 1)

Therefore, the correct factorization is 2(3x - 4)(x + 1), which corresponds to option 4).