Practice Objectives
- Demonstrate the ability to factor out the greatest common factor (GCF) for a polynomial
- Demonstrate the ability to factor a four-term polynomial using grouping
Practice Factoring a Four-Term Polynomial Using Grouping
Instructions:
Answer 7/10 questions correctly to pass.
Factor each expression by grouping, then complete the "Factored Form" by entering the values for "a" and "b" below.
Problem:
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Factoring by Grouping:
- Factor out the GCF (if it isn't 1)
- Rearrange the terms into two groups where each group has a common factor
- In some cases, the common factor will be either 1 or -1
- Factor out the common factor in each group
- Depending on the situation, we may need to factor out the GCF or -GCF
- If both groups have a common binomial factor, factor it out
- If no common binomial factor is found, we repeat the process with a different grouping
- If no common binomial factor can be found, the polynomial is prime
Step-by-Step:
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a =
b =
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