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Mathorio

Worksheet

Factoring Completely

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Show your work for each problem.

1.
What is the first step when factoring any polynomial completely?
1. a)Try grouping
2. b)Factor out the GCF
3. c)Look for difference of squares
4. d)Guess and check
2.
Factor completely: . Enter your answer in the form .
3.
Which expression is completely factored?
1. a)
2. b)
3. c)
4. d)
4.
Factor completely:
5.
Factor completely:
6.
Factor completely:
1. a)
2. b)
3. c)
4. d)
7.
Factor completely:
8.
Factor completely:
9.
Why can't be factored over the real numbers?
1. a)It's already completely factored
2. b)It needs to be grouped first
3. c)It's a sum of squares, which has no real factors
4. d)The GCF is 1
10.
Factor completely:
11.
Factor completely:
12.
Factor completely:
13.
Factor completely:
14.
Factor completely:
1. a)
2. b)
3. c)
4. d)
15.
Factor completely:
16.
Factor completely: