Factor Quadratics with GCF Only

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you factor a quadratic expression using GCF?

Back

To factor a quadratic expression using GCF, identify the largest common factor of all terms and factor it out.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

Factor the expression: 5x^2 + 20

Back

5(x^2 + 4)

Front

Factor the expression: 2x + 4

Back

2(x + 2)

Front

Factor the expression: 10x + 15

Back

5(2x + 3)

Front

What is the GCF of the numbers 3, 9, and 12?

Back

3

Front

What is the first step in factoring using GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 6x^2 + 12x

Back

6x(x + 2)

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.