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.

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

Factor the expression: 3a² + 4a + 1

Back

(3a + 1)(a + 1)

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².

Front

Factor the expression: 3v² - 4v - 7

Back

(3v - 7)(v + 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: 2m² + 3m - 9

Back

(m + 3)(2m - 3)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

Factor the expression: x² + 9x - 36

Back

(x + 12)(x - 3)