Factoring Review

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 the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions by factoring out the GCF.

Front

Factor the expression: 4a² - 25

Back

(2a + 5)(2a - 5) - This is an example of the difference of squares.

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

Factor the expression: 8n³ + 2n²

Back

2n²(4n + 1) - This is done by factoring out the GCF.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in an expression to factor out common factors.

Front

Factor the expression: 25x² - 70x + 49

Back

(5x - 7)² - This is a perfect square trinomial.

Front

What is a perfect square trinomial?

Back

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

Front

Factor the expression: 8r³ + 16r²

Back

8r²(r + 2) - This is done by factoring out the GCF.

Front

What is a binomial?

Back

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