GCF and Factoring Binomials

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

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

Front

What is the GCF of 18k and 15k^3?

Back

3k

Front

What is the GCF of 18 and 24?

Back

6

Front

What is the GCF of 20 and 30?

Back

10

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

Factor the expression: 30 - 24x^2

Back

6(5 - 4x^2)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is the difference between GCF and LCM?

Back

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