Question

Fill in the blanks to complete the examples.
Step
Example

1. Identify a common factor.
4x2+24x+20
Common factor =
• Answer

2. Factor out the common factor.
(Common factor)(x2+bx+c)
• Answer ,

3. Factor the remaining trinomial.
(Common factor)(x + p)(x + q)
1 Answer

:4(x2+6x+5)
:: 4
:: 4(x+5)(x + 1)

Answer 1

Let's fill in the blanks for the given example.

**Step**
**Example**

1. Identify a common factor.
\(4x^2 + 24x + 20\)
**Common factor** =
**Answer**: 4

2. Factor out the common factor.
\((\text{Common factor})(x^2 + bx + c)\)
**Answer**: \(4(x^2 + 6x + 5)\)

3. Factor the remaining trinomial.
\((\text{Common factor})(x + p)(x + q)\)
**Answer**: \(4(x + 5)(x + 1)\)

So the completed example looks like this:

1. Identify a common factor:
Common factor = 4

2. Factor out the common factor:
Answer: \(4(x^2 + 6x + 5)\)

3. Factor the remaining trinomial:
Answer: \(4(x + 5)(x + 1)\)