GCF & Factoring Polynomials

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number, then identify the largest factor that appears in both lists.

Front

Find the GCF of 64 and 144.

Back

16

Front

What is the GCF of 18 and 24?

Back

6

Front

What is the greatest factor of 28 and 49?

Back

7

Front

What is the GCF of the trinomial 3x^2 - 9x - 120?

Back

3

Front

Factor the expression 10x^2 + 5x.

Back

5x(2x + 1)

Front

What is a polynomial?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the difference between GCF and LCM?

Back

GCF (Greatest Common Factor) is the largest factor shared by two or more numbers, while LCM (Least Common Multiple) is the smallest multiple shared by two or more numbers.