Factoring Out Gcf of Binomials

What is the first step in factoring the given trinomial?

• Write as two binomials

• Factor out the greatest common factor (GCF)

• Multiply a * c

• Write b

Factor out the GCF from the each group.

What factor now appears in both groups?

Format your answer as (_+_).  Do not use spaces in your answer.

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Let's embark on a math adventure! 🚀 Can you discover the Greatest Common Factor (GCF) of this treasure?
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Let's dive into a math adventure! 🚀 Can you spot the Greatest Common Factor (GCF) in this magical expression?
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

What must ALWAYS be done before factoring polynomials?

• Factor the difference of two squares

• Look for the value of the variables

• Find the values of a, b and c

• Look for the Greatest Common Factor (GCF)

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!