Factoring Polynomials by Grouping
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Medium
Standards-aligned
Lucas Foster
Used 4+ times
FREE Resource
Standards-aligned
Read more
8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in factoring a polynomial with no common greatest factor?
Factor out the variable with the highest power
Apply the quadratic formula
Divide each term by the smallest coefficient
Group like terms together
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What common factor is extracted from the first group of terms?
7x
35
5
4y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After factoring out common factors, what expression is common to both groups?
4y + 5
5x + 7
x + y
7x + 5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final factored form of the polynomial?
(x + y) x (5 + 7)
(5x + 7) x (5y + 4)
(7x + 5) x (4y + 5)
(4y + 5) x (7x + 5)
Tags
CCSS.HSA.APR.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What alternative grouping of terms is suggested?
28XY with 35X
20Y with 35X
28XY with 20Y
35X with 25
Tags
CCSS.7.EE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What common factor is extracted from the alternative grouping?
7x
4y
20
5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Does the alternative grouping strategy lead to a different final answer?
Yes, but only the order of the terms is different.
No, it leads to the same final factored form.
No, but it simplifies the polynomial further.
Yes, it results in a completely different factorization.
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