MathIsimple

Factoring Polynomials

Master factoring techniques! Learn to extract GCF, factor quadratic trinomials, recognize perfect squares, and use the difference of squares pattern.

9th Grade
Algebra
~60 min
🎮 Interactive Activity: GCF Finder

Find the Greatest Common Factor (GCF) of two numbers!

Find GCF of:

12 and 18
🎮 Interactive Activity: Quadratic Factoring

Factor quadratic expressions!

Expression:

x² + 5x + 6

Factored Form:

?
1. Greatest Common Factor (GCF)

Factoring Out the GCF

The GCF is the largest factor common to all terms. Always factor out the GCF first before using other factoring methods.

Example 1: Factor 3x² + 12x

Step 1: Find GCF of 3x² and 12x: GCF = 3x

Step 2: Factor out 3x: 3x(x + 4)

Answer: 3x(x + 4)

Example 2: Factor 6x³ - 9x² + 3x

Step 1: Find GCF: 3x

Step 2: Factor: 3x(2x² - 3x + 1)

Answer: 3x(2x² - 3x + 1)

2. Factoring Quadratic Trinomials
3. Perfect Square Trinomials
4. Difference of Squares
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Factor: x² + 5x + 6
2
Factor: x² - 9
3
Factor: 3x² + 12x
4
Factor: x² - 6x + 9
5
What is the GCF of 12x² and 18x?
6
Factor: x² - 4x - 5
7
Factor: 2x² - 8
8
Factor: x² + 10x + 25
9
Factor: x² - 16
10
Factor: 5x² - 20x