Factor out GCF Flashcard

Front

What is the Greatest Common Factor (GCF)?

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 or more terms?

Back

1. List the factors of each term. 2. Identify the common factors. 3. Choose the largest common factor.

Front

Factor out the GCF: 12x + 8y

Back

4(3x + 2y)

Front

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

Back

5ab(3a + 2b)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

Factor out the GCF: 9x^2 - 6x

Back

3x(3x - 2)

Front

What is the difference between GCF and LCM?

Back

GCF is the largest factor common to all numbers, while LCM is the smallest multiple common to all numbers.

Front

Factor out the GCF: 5x^3 + 10x^2 - 15x

Back

5x(x^2 + 2x - 3)

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents.

Front

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

Back

4x^2(x^2 - 2x + 3)