REVIEW #1 ON FACTORING TECHNIQUES

Front

What is factoring in algebra?

Back

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

Front

What is the difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression of the form a² ± 2ab + b², which factors to (a ± b)².

Front

Factor the expression: 4x² - 16.

Back

4(x + 2)(x - 2).

Front

What is the sum of cubes formula?

Back

The sum of cubes formula states that a³ + b³ = (a + b)(a² - ab + b²).

Front

Factor the expression: 216x³ + 125.

Back

(6x + 5)(36x² - 30x + 25).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions.

Front

Factor the expression: 16p⁴ + 4p³.

Back

4p³(4p + 1).

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into its factors, while expanding is multiplying out the factors to get the original expression.