Question

Factoring without Combining Like Terms

Try it
Complete the steps to factor 2x2 + 6x + 5x + 15 by grouping.
2x2 + 6x + 5x + 15
Step 1: Group the first two terms and the second two terms.
(2x2 + 6x) + (5x + 15)
Group 1 Group 2
Step 2: What is the greatest common factor of Group 1?
2
Ox
O 2x

Answer 1

EDG 2021

Explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer 2

(x + 3)(2x + 5)

Explanation:

Given

2x² + 6x + 5x + 15 ← grouping the terms

= (2x² + 6x) + (5x + 15) ← factor each group

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5) ← in factored form