Question #6454381Fill in the Blank
Algebra-1
Question
Factor the polynomial by grouping. The factored form is _________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to factor a multivariable polynomial using the grouping method, which is essential in Algebra-1.
This question assesses the student's ability to factor a multivariable polynomial using the grouping method, which is essential 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: 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 5ab:
From the second 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 5ab:
From the second group
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