Math 7 - Factoring algebraic expressions

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

Factor the expression: 16m + 24

Back

8(2m + 3)

Front

What is the GCF of 18xy and 12x?

Back

6x

Front

Factor the expression: 2xy - 14y + 10xyz

Back

2y(x - 7 + 5xz)

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

Factor the expression: 35c - 15d

Back

5(7c - 3d)

Front

What does it mean to factor an expression?

Back

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

Front

What is a monomial?

Back

A monomial is an algebraic expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables.

Front

What is a binomial?

Back

A binomial is an algebraic expression that consists of two terms separated by a plus or minus sign.