Question #6454400Fill 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 by grouping and extracting common factors.
This question tests the ability to factor a multivariable polynomial with negative coefficients by grouping and extracting common factors.
Key Concept Explanation
Factoring polynomials with negative coefficients involves identifying and extracting the greatest common factor, including negative factors, and then grouping terms to simplify the expression.
Factoring polynomials with negative coefficients involves identifying and extracting the greatest common factor, including negative factors, and then grouping terms to simplify the expression.
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):
This gives:
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):
This gives:
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