factoring gcf

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 28ab and 42b?

Back

1. List the factors of each term: 28ab = 1, 2, 4, 7, 14, 28; 42b = 1, 2, 3, 6, 7, 14, 21, 42. 2. The common factors are 1, 2, 7, 14. 3. The GCF is 14b.

Front

Factor the expression: 18x^3 + 81x - 27

Back

9(2x^3 + 9x - 3) is the complete factorization.

Front

What is the first step in factoring an expression?

Back

Identify the GCF of all the terms in the expression.

Front

Factor the expression: 2n^3 + 16n + 12

Back

2(n^3 + 8n + 6) is the complete factorization.

Front

Factor the expression: x^2 - 5x

Back

x(x - 5) is the complete factorization.

Front

What does it mean to factor an expression completely?

Back

To factor an expression completely means to break it down into its simplest form, where no further factoring is possible.

Front

Factor the expression: 7x + 49

Back

7(x + 7) is the complete factorization.

Front

What is the importance of factoring in algebra?

Back

Factoring helps simplify expressions, solve equations, and understand polynomial behavior.

Front

How do you check if your factorization is correct?

Back

Multiply the factors back together to see if you obtain the original expression.