5/20 GCF + Factoring

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of 12 and 18?

Back

List the factors: 12 (1, 2, 3, 4, 6, 12) and 18 (1, 2, 3, 6, 9, 18). The GCF is 6.

Front

Factor out the GCF from 4x^2 + 8x.

Back

4x(x + 2).

Front

What is the first step in factoring a polynomial?

Back

Identify the GCF of all the terms.

Front

Factor: 15x + 25.

Back

5(3x + 5).

Front

What does it mean to factor a polynomial completely?

Back

To express it as a product of its irreducible factors.

Front

Factor: x^2 + 5x + 6.

Back

(x + 2)(x + 3).

Front

What is the factored form of 2x^2 + 8x?

Back

2x(x + 4).

Front

Factor: 6y^2 - 9y.

Back

3y(2y - 3).

Front

What is the purpose of factoring in algebra?

Back

To simplify expressions and solve equations.