Question #6454375Fill 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: Factor out the GCF of all terms first
All terms share a common factor of 5p.
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 2pq:
Step 1: Factor out the GCF of all terms first
All terms share a common factor of 5p.
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 2pq:
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