
Factoring Polynomials by Grouping Techniques

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the only common factor among all terms in the given polynomial example?
x
5
3
1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary reason the simple technique of finding a common divisor might fail?
All terms have a different divisor
The terms are not in the correct order
The polynomial is too complex
There is no common divisor across all terms
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying the grouping technique to factorize a polynomial?
Identify any common factor in all terms
Find a common factor in specific groups of terms
Rearrange the terms randomly
Divide the polynomial into equal parts
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the grouping method address polynomials without a common factor across all terms?
By ignoring the uncommon terms
Through rearrangement of terms only
By finding common factors in sub-groups
By multiplying terms to create a common factor
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What surprising element is discovered when applying the grouping method to the first example?
A common divisor in all terms
A new polynomial expression
A repeated factor in different groups
An unrelated term that cannot be factored
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the outcome of factoring out the common blob '2x + 3' from the grouped terms?
A more complex polynomial
A single term polynomial
An unsolvable equation
A simplified polynomial expression
Tags
CCSS.7.EE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the initial step for applying the grouping method?
Choosing any two terms to group together
Grouping terms based on their coefficients
Factoring out a '3' from all terms
Identifying the highest common factor
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