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Factor the given expression by using Factor by Grouping Method
completely and show your work. Check your answer and show that work as well.

Factor the given expression by using Factor by Grouping Method completely and show your work Check your answer and show that work as well class=

Respuesta :

rococo908

Answer:

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

Step-by-step 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)