Question #6454364Fill in the Blank
Algebra-1
Question
Factor the polynomial by grouping. The factored form is ____________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a multivariable polynomial using the grouping method, which is a key skill in Algebra-1.
This question tests the ability to factor a multivariable polynomial using the grouping method, which is a key skill in Algebra-1.
Key Concept Explanation
Factoring by grouping involves dividing the polynomial into groups, extracting the greatest common factor (GCF) from each group, and then factoring out the common binomial factor.
Factoring by grouping involves dividing the polynomial into groups, extracting the greatest common factor (GCF) from each group, and then factoring out the common binomial factor.
Step-by-step Solution
1. Group the polynomial as 1. Group the polynomial as .
2. Extract the GCF from the first group: .
3. Extract the GCF from the second group: .
4. Factor out the common binomial factor :
1. Group the polynomial as 1. Group the polynomial as .
2. Extract the GCF from the first group: .
3. Extract the GCF from the second group: .
4. Factor out the common binomial factor :
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