Factoring GCF of Polynomial

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 find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

What is the GCF of 12 and 16?

Back

The GCF is 4.

Front

What is the GCF of 18, 24, and 30?

Back

The GCF is 6.

Front

Factor the GCF: 8x^3 + 12x^2 + 4x

Back

4x(2x^2 + 3x + 1).

Front

What is the first step in factoring the GCF from a polynomial?

Back

Identify the GCF of all the terms in the polynomial.

Front

Factor the GCF: 15a^2b + 25ab^2 + 10a^3b

Back

5ab(3a + 5b + 2a^2).

Front

What is the GCF of the terms 9x^2y and 12xy^2?

Back

The GCF is 3xy.

Front

How do you factor a polynomial completely?

Back

1. Find the GCF. 2. Factor out the GCF. 3. Factor the remaining polynomial if possible.

Front

Factor the GCF: 6m^4n^2 + 9m^3n + 3m^2n^3

Back

3m^2n(2m^2n + 3m + n^2).