Factoring Polynomials (Grouping and Sum/Difference of Cubes)

Front

What is the formula for factoring the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

Factor the polynomial by grouping: x³ + 7x² - 2x - 14

Back

(x² - 2)(x + 7)

Front

What is the result of factoring the difference of cubes: x³ - 125?

Back

(x - 5)(x² + 5x + 25)

Front

Which number is both a perfect square and a perfect cube?

Back

64

Front

Factor the polynomial: 125x³ - 64

Back

(5x - 4)(25x² + 20x + 16)

Front

What is the formula for factoring the sum of cubes?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What is the first step in factoring by grouping?

Back

Group terms in pairs and factor out the common factor from each pair.

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

What is a perfect cube?

Back

A number that can be expressed as the cube of an integer.

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3)