Question #6454396Fill 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 with negative coefficients, focusing on extracting common factors and grouping.
This question tests the ability to factor a multivariable polynomial with negative coefficients, focusing on extracting common factors and grouping.
Key Concept Explanation
To factor a polynomial with negative coefficients, first identify and extract the greatest common factor (GCF), including negative GCFs, and then group terms to find common factors.
To factor a polynomial with negative coefficients, first identify and extract the greatest common factor (GCF), including negative GCFs, and then group terms to find common 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 :
From the second group , the GCF is (factoring out aligns the binomial with the first group):
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 :
From the second group , the GCF is (factoring out aligns the binomial with the first group):
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