Factor by Grouping AND GCF Flashcard

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you find the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

What is the first step in factoring by grouping?

Back

Identify and group terms that have a common factor.

Front

Factor the expression: 8x + 12.

Back

4(2x + 3) is the factored form.

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

Factor by GCF: 15y + 25.

Back

5(3y + 5) is the factored form.

Front

What is the purpose of factoring by grouping?

Back

Factoring by grouping is used to simplify expressions and solve equations more easily.

Front

Factor the expression: 10x^2 + 15x.

Back

5x(2x + 3) is the factored form.

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.

Front

Factor the expression: 4x^2 + 8x.

Back

4x(x + 2) is the factored form.