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 the factored form of x² - 25?

Back

(x + 5)(x - 5)

Front

How do you factor a quadratic expression of the form x² + bx + c?

Back

Look for two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n) where m and n are those numbers.

Front

What is the factored form of x² - 6x + 8?

Back

(x - 2)(x - 4)

Front

What is the factored form of k² - 2k - 24?

Back

(k + 4)(k - 6)

Front

What does it mean to factor completely?

Back

To factor completely means to break down an expression into its simplest factors, including any common factors.

Front

What is the factored form of 2x² + 22x + 60?

Back

2(x + 5)(x + 6)

Front

What is the square of a binomial?

Back

The square of a binomial (a - b)² is expressed as a² - 2ab + b².

Front

What is the factored form of (x - 3)(x - 3)?

Back

(x - 3)²

Front

What is the difference of squares?

Back

The difference of squares is a² - b² = (a + b)(a - b).