Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a factor?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

What is the difference of squares formula?

Back

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

Front

Factor the expression: x² - 16.

Back

(x + 4)(x - 4) - This is an example of the difference of squares.

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: v² - 6v + 9.

Back

(v - 3)² - This is a perfect square trinomial.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

Factor the expression: 3x² + 10x - 8 completely.

Back

(3x - 2)(x + 4) - This is a quadratic expression factored into two binomials.

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: x³ - 27.

Back

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