Factoring Algebraic Expressions

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers share.

Front

How do you find the GCF of 36 and 24?

Back

The GCF of 36 and 24 is 12.

Front

Factor the expression: 8x + 40

Back

8(x + 5)

Front

Can the expression 7x + 48y be factored?

Back

No, it cannot be factored.

Front

Factor the expression: 22 - 18z

Back

2(11 - 9z)

Front

Use the GCF to factor the expression: 36x + 24

Back

12(3x + 2)

Front

Factor the expression: 50x - 60y

Back

10(5x - 6y)

Front

What is the first step in factoring an algebraic expression?

Back

Identify the GCF of the terms in the expression.

Front

What is a prime number in the context of factoring?

Back

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.