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 greatest common factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression: 10x³ - 15x

Back

5x(2x² - 3)

Front

Factor the expression: 2x² + 13x + 15

Back

(2x + 3)(x + 5)

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c.

Front

Factor the expression: 12x + 6

Back

6(2x + 1)

Front

What is the difference of squares?

Back

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

Front

Factor the expression: 2x² - 15x + 27

Back

(2x - 9)(x - 3)

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as a + b or x² - 4.

Front

Factor the expression: 12x² + 11x + 2

Back

(3x + 2)(4x + 1)