Factoring by Grouping
Authored by Chelsea Edgar
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times
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22 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
20x3-25x2+4x-5
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
2x3-8x2-x+4
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
x3-5x2+5x-25
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the factored form of x³+7x²-2x-14
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Factor by grouping:
4p³+8p²+3p+6
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What method should you use to factor the polynomial?
5n³-10n²+3n-6
Factor by Grouping
Factor out the GCF
Difference of Squares
Master Product
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