Factoring

Front

What is the GCF of 18xy and 12x?

Back

6x

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor completely: 18x² - 50. (Hint: Factor out GCF first.)

Back

2(3x + 5)(3x - 5)

Front

Why can't we factor 49x² + 4y² using the difference of two squares?

Back

Because we can't factor using difference of two squares if it is addition.

Front

Factor completely: 2x² + 22x + 60.

Back

2(x + 5)(x + 6)

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 is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a - b)(a + b).

Front

How do you factor out the GCF from an expression?

Back

To factor out the GCF, identify the greatest common factor of all terms and divide each term by it, then write the GCF outside the parentheses.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b or 3x - 5.