Factoring

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What does GCF stand for?

Back

GCF stands for Greatest Common Factor, which is the largest factor that divides two or more numbers.

Front

Factor the expression: 18x² - 50.

Back

2(3x + 5)(3x - 5)

Front

What is a perfect square trinomial?

Back

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

Front

Factor the expression: x² + 18x + 81.

Back

(x + 9)²

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for the Greatest Common Factor (GCF) of the terms.

Front

Factor the expression: 3x² + 18x + 15.

Back

3(x + 5)(x + 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: d² - 10d + 25.

Back

(d - 5)(d - 5) or (d - 5)²

Front

What is a quadratic expression?

Back

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