Factoring GCF
Practice spotting and factoring out the greatest common factor before factoring the trinomial.
Practice Question Set
7 quick practice checks
Topic Progress
Saved on this device and updated across practice sessions.
What is the GCF of 12x²y and 15xy²?
2x(x² + ___ - 5) = 2x³ + 6x² - 10x
Factor out the GCF: \(5x² - 5\)
After factoring out the GCF of 3 from 3x² - 21x + 30, what is the remaining trinomial inside the parentheses?
When factoring 4x² + 8x + 4, why should you factor out the 4 before looking for binomials?
Factor 3x³ - 21x² + 30x. If the GCF is 3x, what is the resulting trinomial?
Factor: \(7x³ + 14x² + 21x\)
Factor completely: \(5x² - 20x - 60\)
Is 5(x² + 2x - 3) the correct first step for factoring 5x² + 10x - 15?
What is the Greatest Common Factor (GCF) of the terms 12x² and 18x?
What is the GCF of 3x, 6y, and 9z?
Factor completely: \(2x² + 10x + 12\)
Factor out the GCF: \(2x² - 10x + 12\)
What is the GCF of 100x³ and 25x?
In the expression x⁴ + x³ + x², which power of x represents the GCF?
Factor: \(4x³ - 8x²\)
What is the GCF of 16x²y² and 24xy³?
What is the GCF of 9x²y, 18xy², and 27xy?
What is the GCF of 18a³ and 27a²?
A student writes 4x² + 20x + 24 = (2x + 4)(2x + 6). What step did they miss?
Factor completely: \(3x³ - 27x\)
Factor: \(x³ + x² + x\)
Factor out the GCF: \(8x² + 12x\)
Factor out the GCF: \(9x² + 18x + 27\)
What is the GCF of 14x⁴ and 21x³?
Factor: \(3x² + 9x + 6\)
___(x² - 4x + 4) = 7x² - 28x + 28. What is the missing GCF?
Factor: \(x²y² - xy\)
Factor out the GCF: \(10x⁴ - 20x³\)
Factor: \(20x³ - 50x²\)
Factor: \(x²y + xy²\)
What is the GCF of 22x² and 33x?
Factor completely: \(4x³ - 16x\)
For the expression 5x³ + 15x² - 10x, what is the largest factor common to all three terms?
Factor: \(8x³ - 16x² + 24x\)
If you factor 10x² - 40 as (10x - 20)(x + 2), which step did you fail to do first?
What is the GCF of 15x³, 20x², and 25x?
What is the GCF of 24a²b and 16ab²?
Factor: \(4x² - 4\)
Factor: \(11x² - 11x\)
Factor out the GCF: \(-5x² - 15x\)
Factor out the GCF: \(30x² - 10x\)
Factor out the GCF: \(2x⁴ - 6x³ + 10x²\)
Factor: \(14x² + 28x\)
Factor: \(6x² - 18x + 24\)
A student factors 6x² - 12x as 2x(3x - 6). Why is this factoring incomplete?
What is the GCF of 15x² and 45x?
Factor: \(6x² + 12x + 6\)
Factor: \(3x²y - 6xy²\)
What is the GCF of 48x and 36?