Question

Factor the given expression by using Factor by Grouping Method

completely and show your work. Check your answer and show that work as well.

Answer 1

(3x - 7)(2x + 3)

Explanation:

Multiply 6 by -21, which gets you -126.

Now, we have to find 2 factors that multiply to -126 and add to -5.

These two factors will be -14 and 9.

Now, we can group by putting the 2 factors in place of -5x

6x² + 9x - 14x - 21

Then, we can factor out a common value in both halves of the expression:

3x(2x + 3) - 7(2x + 3)

Now, we can split this into 2 factors:

(3x - 7)(2x + 3)