Remove Same Variable From Bracketed Terms (find GCF) (Level 2)

This math topic focuses on identifying the greatest common factor (GCF) of algebraic expressions involving polynomials. The problems require practicing the simplification of polynomial and quadratic equations by finding the GCF of terms. Each problem presents polynomial expressions and multiple-choice answers to select the correct GCF. This topic not only enhances algebraic function skills but also deepens understanding of factorization in the context of polynomials and quadratics, suitable for a continuous study of these fields in algebra.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Remove Same Variable From Bracketed Terms (find GCF) Worksheet

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Algebraic Functions - Remove Same Variable From Bracketed Terms (find...
1
What is the greatest common factor of these terms?
A LaTex expression showing 6y to the power of 2 + 10y
a A LaTex expression showing 6
b A LaTex expression showing y
c A LaTex expression showing 2
d A LaTex expression showing 2y
e A LaTex expression showing 5
2
What is the greatest common factor of these terms?
A LaTex expression showing 15r to the power of 2 + 9r
a A LaTex expression showing 3r
b A LaTex expression showing r
c A LaTex expression showing 3
d A LaTex expression showing 15
3
What is the greatest common factor of these terms?
A LaTex expression showing 6z to the power of 2 + 15z
a A LaTex expression showing 5
b A LaTex expression showing 3z
c A LaTex expression showing 6
d A LaTex expression showing 3
e A LaTex expression showing z
4
What is the greatest common factor of these terms?
A LaTex expression showing 49r to the power of 2 + 14r
a A LaTex expression showing 2
b A LaTex expression showing 7
c A LaTex expression showing 49
d A LaTex expression showing 7r
e A LaTex expression showing r
5
What is the greatest common factor of these terms?
A LaTex expression showing 6r to the power of 2 + 14r
a A LaTex expression showing r
b A LaTex expression showing 6
c A LaTex expression showing 7
d A LaTex expression showing 2
e A LaTex expression showing 2r
6
What is the greatest common factor of these terms?
A LaTex expression showing 14n to the power of 2 - 6n
a A LaTex expression showing 2n
b A LaTex expression showing n
c A LaTex expression showing 14
d A LaTex expression showing 3
e A LaTex expression showing 2
7
What is the greatest common factor of these terms?
A LaTex expression showing 8n to the power of 2 - 28n
a A LaTex expression showing 4n
b A LaTex expression showing 4
c A LaTex expression showing n
d A LaTex expression showing 8
e A LaTex expression showing 7
8
What is the greatest common factor of these terms?
A LaTex expression showing 42y to the power of 2 + 30y
a A LaTex expression showing 42
b A LaTex expression showing 6
c A LaTex expression showing 6y
d A LaTex expression showing y
e A LaTex expression showing 5