Factoring - GCF 11-2 and BQT 11-5

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor that appears in both lists.

Front

Factor the expression: a² + 10a + 21

Back

(a + 7)(a + 3)

Front

What is the process of factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: 7x² - 14x

Back

7x(x - 2)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down an expression into its simplest factors, including any common factors.

Front

Factor the expression: 9m²n + 3mn + 6mn⁵

Back

3mn(3m + 1 + 2n^4)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

Factor the expression: 2a²b⁵ - 16a²b⁴ - 18a²b³

Back

2a²b³(b - 9)(b + 1)

Front

What is the difference between factoring and expanding an expression?

Back

Factoring breaks an expression into its components, while expanding multiplies out the components to form a single expression.