Question #6454374Fill in the Blank
Algebra-1
Question
Factor the polynomial completely. The factored form is ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to factor a multivariable polynomial using the grouping method.
This question tests the ability to factor a multivariable polynomial using the grouping method.
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 any common binomial factors.
Factoring by grouping involves dividing the polynomial into groups, extracting the greatest common factor (GCF) from each group, and then factoring out any common binomial factors.
Step-by-step Solution
Step 1: Group the terms into two pairs
Group the first two terms and the last two terms:
Step 2: Factor out the GCF from each group
From the first group , the GCF is 3mn:
From the second group , there is no common factor other than 1, so it remains:
Step 1: Group the terms into two pairs
Group the first two terms and the last two terms:
Step 2: Factor out the GCF from each group
From the first group , the GCF is 3mn:
From the second group , there is no common factor other than 1, so it remains:
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