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 a quadratic expression?

Back

The factored form of a quadratic expression is typically written as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

Factor completely: 3x² - 8x + 4

Back

(3x - 2)(x - 2)

Front

What are the factors of 25x² - 81?

Back

(5x - 9)(5x + 9)

Front

Factor completely: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor completely: x² - 6x + 8

Back

(x - 2)(x - 4)

Front

Factor: x² - 25

Back

(x + 5)(x - 5)

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

What is the difference of squares?

Back

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

Front

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

Back

To factor a trinomial of the form x² + bx + c, find two numbers that multiply to c and add to b.