Factoring

Front

What is factoring?

Back

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

Front

What is the difference of two squares?

Back

The difference of two squares is a special factoring formula: a² - b² = (a + b)(a - b).

Front

Factor the expression: 144x² - 49y²

Back

(12x + 7y)(12x - 7y) - This is an example of the difference of two squares.

Front

What is factoring by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in a polynomial to factor it into simpler expressions.

Front

Factor by grouping: 3x³ - x² + 6x - 2

Back

(x² + 2)(3x - 1) - Group terms to factor out common factors.

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, with no further factoring possible.

Front

Factor completely: x² + 16x + 64

Back

(x + 8)(x + 8) - This is a perfect square trinomial.

Front

What are the factors of 27?

Back

The factors of 27 are 1, 3, 9, and 27.

Front

Factor the expression: a² - a - 12

Back

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

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.