

Factoring Polynomials: Greatest Common Factor Insights
Interactive Video
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Hard
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does GCF stand for in the context of polynomial factoring?
Gradient Central Feature
Geometric Configuration Form
General Calculus Function
Greatest Common Factor
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in factoring polynomials?
Solving for x
Applying the distributive property
Finding the GCF
Identifying the highest exponent
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the GCF of a polynomial?
By adding the coefficients
By subtracting the exponents
By dividing each term by the smallest coefficient
By identifying common prime factors
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is described as a 'surefire way' to always find the GCF?
Quadratic formula
Synthetic division
Completing the square
Prime factorization
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of GCF, what must a variable fulfill to be considered as part of the GCF?
It must be an integer.
It must be a prime number.
It must be present in all terms with the smallest exponent.
It must have the highest exponent in the term.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of factoring out the GCF in the expression '4a squared plus 8a'?
4a(2a + 1)
8a(a + 1)
2a(2a + 4)
4a(a + 2)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the term 'prime' refer to in polynomial factoring?
The highest coefficient in the polynomial
A polynomial that can be factored further
The smallest exponent in the polynomial
A polynomial that cannot be factored further
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