Procedure Template

Complete the steps to factor 2x² + 6x + 5x + 15 by grouping.

Step 1: Group the first two terms and the second two terms.

Step 2: What is the greatest common factor of Group 1?
2
x
2x

Step 3: What is the greatest common factor of Group 2?
3
5
5x

Step 4: What is the common factor in both terms of the resulting expression?
2x
3
x + 3

Step 5: Use the distributive property to write the factored form of the polynomial.
(x + 3)(2x + 5)
(2x + 3)(x + 5)

Here is some feedback. It can have up to 3 lines of text. Please check your calculations before answering.

2x² + 6x + 5x + 15

= (2x² + 6x) + (5x + 15)
Group 1 Group 2

= 2x(x + 3) + (5x + 15)

= 2x(x + 3) + 5(x + 3)

Common factor: x + 3

= (x + 3)(2x + 5)