Unit 0: Precal DOL Identifying factoring methods

Front

What is the difference of squares?

Back

The difference of squares is a factoring method used for expressions of the form a² - b², which can be factored as (a - b)(a + b).

Front

Factor the expression: x² - 25

Back

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

Front

What is the formula for the difference of cubes?

Back

The difference of cubes can be factored using the formula: a³ - b³ = (a - b)(a² + ab + b²).

Front

Factor the expression: x³ - 8

Back

(x - 2)(x² + 2x + 4) - This is an example of the difference of cubes.

Front

What is the sum of cubes formula?

Back

The sum of cubes can be factored using the formula: a³ + b³ = (a + b)(a² - ab + b²).

Front

Factor the expression: x³ + 27

Back

(x + 3)(x² - 3x + 9) - This is an example of the sum of cubes.

Front

What does GCF stand for in factoring?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

How do you factor using GCF?

Back

To factor using GCF, identify the largest common factor of the terms and factor it out.

Front

Factor the expression: 22x³y² - 44x⁵y

Back

22x³y(1 - 2x²) - This is an example of factoring using GCF.

Front

What is the x-method in factoring?

Back

The x-method is a technique used to factor quadratic expressions by finding two numbers that multiply to the product of the leading coefficient and the constant term, and add to the middle coefficient.