4-2 Factoring with Identities

Front

What is the difference of cubes formula?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²)

Front

What does it mean to factor a polynomial?

Back

To express a polynomial as a product of its factors.

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3)

Front

What is the purpose of factoring in algebra?

Back

To simplify expressions and solve equations.

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

What is a perfect square trinomial?

Back

An expression of the form a² ± 2ab + b², which factors to (a ± b)².

Front

Factor the expression: 4x² - 12x + 9

Back

(2x - 3)²

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / 2a