Question #6454380Fill 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 two groups, extracting the greatest common factor (GCF) from each group, and then factoring out any common binomial factor.
Factoring by grouping involves dividing the polynomial into two groups, extracting the greatest common factor (GCF) from each group, and then factoring out any common binomial factor.
Step-by-step Solution
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 2y.
Factor this out first:
Step 2: Group the remaining polynomial into two pairs
Group the terms inside the parentheses:
Step 3: Factor out the GCF from each group
From the first group , the GCF is :
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 2y.
Factor this out first:
Step 2: Group the remaining polynomial into two pairs
Group the terms inside the parentheses:
Step 3: Factor out the GCF from each group
From the first group , the GCF is :
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