Factoring

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor completely?

Back

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

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that applies to expressions of the form a² - b², which can be factored as (a + b)(a - b).

Front

Factor the expression: x² - 13x + 40

Back

(x - 5)(x - 8)

Front

Factor the expression: 2x² + 22x + 60

Back

2(x + 5)(x + 6)

Front

Factor the expression: 3x² - 9x - 120

Back

3(x - 8)(x + 5)

Front

Factor the expression: x² - 25

Back

(x + 5)(x - 5)

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.