Factor the GCF Mini-Flashcard

Front

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF of two numbers, list the factors of each number and identify the largest factor that they have in common.

Front

What is the first step in factoring a polynomial?

Back

The first step in factoring a polynomial is to identify the GCF of all the terms in the polynomial.

Front

Factor the polynomial: 6x^2 + 9x.

Back

3x(2x + 3) - The GCF is 3x.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

Factor the polynomial: x^2 - 5x + 6.

Back

(x - 2)(x - 3) - The GCF is 1.

Front

What is the GCF of 12 and 18?

Back

The GCF of 12 and 18 is 6.

Front

How can you check if your factored polynomial is correct?

Back

You can check if your factored polynomial is correct by multiplying the factors back together to see if you get the original polynomial.

Front

Factor the polynomial: 4x^2 + 8x.

Back

4x(x + 2) - The GCF is 4x.