GCF and Factoring by Grouping

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

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 using GCF: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What is factoring by grouping?

Back

Factoring by grouping is a method used to factor polynomials by grouping terms with common factors.

Front

Factor by grouping: 4p³ + 8p² + 3p + 6

Back

(4p² + 3)(p + 2)

Front

What is the first step in factoring by grouping?

Back

Group the terms in pairs and factor out the common factor from each pair.

Front

Factor the expression: 6x + 24

Back

6(x + 4)

Front

What is a polynomial?

Back

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

Front

Factor by grouping: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

What does it mean to factor an expression?

Back

To factor an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.