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 are the factors of 25x² - 81?

Back

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

Front

How do you factor a² - a - 12?

Back

(a - 4)(a + 3)

Front

What is the factored form of 3x² + 10x - 8?

Back

(3x - 2)(x + 4)

Front

What is the factored form of 5x² - 7x + 2?

Back

(5x - 2)(x - 1)

Front

What are the factors of x² - 9?

Back

(x + 3)(x - 3)

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 where a² - b² = (a - b)(a + b).

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression.

Front

What is the factored form of x² + 5x + 6?

Back

(x + 2)(x + 3)