
Factor by Grouping with Gcf
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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11 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following methods would be best to solve this equation by Factoring?
7x3 + 49x2 = 0
GCF
I-Chart with Grouping (a > 1)
Diffefernce of Squares
Difference of Cubes
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor out the GCF:
4x - 10
4(x - 5)
2(x - 5)
2(2x - 5)
2(2x -10)
Tags
CCSS.7.EE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use your knowledge on GCF's and Factoring by grouping to factor the following: 30x3+15x2-18x-9
(5x2-3)(6x+1)
(5x2-3)(6x+3)
3(5x2+3)(2x-1)
3(5x2-3)(2x+1)
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the greatest common factor of
6x4y3 - 12x4y2 + 6x3y2
6
6xy
6x3y2
6x9y6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor Completely: 3m4 + 6m3 + 48m2 + 96m
**Hint: Factor by GCF THEN grouping
3m(m2 + 16)(m + 2)
3m(m2 − 16)(m − 2)
3m(m + 4)(m − 4)(m + 2)
3m(m + 4)(m − 4)(m − 2)
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor Completely: 8x4 + 2x3 − 16x2 − 4x
2x2(4x + 1)(x − 2)
2x(4x + 1)(x2 − 2)
2x(x + 1)(x − 1)
2(x2 − 2)(4x − 1)
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Why do we need to find the GCF of polynomials? Choose the BEST option.
Because Ms. Rice said so
To simplify the polynomials as much as possible before working with them
To get rid of stuff
Because the GCF makes the problem impossible to solve
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