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 6 and 24?

Back

The GCF of 6 and 24 is 6, as it is the largest number that divides both.

Front

Factor by GCF: 6x + 24

Back

6(x + 4)

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 Completely: 2n² - 8n³

Back

2n²(1 - 4n)

Front

What does it mean to factor a polynomial completely?

Back

To factor a polynomial completely means to break it down into irreducible factors.

Front

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

Back

(4p² + 3)(p + 2)

Front

What is the purpose of factoring in algebra?

Back

Factoring simplifies expressions and helps solve equations more easily.

Front

Factor the expression: 2x³ - 8x² - x + 4

Back

(2x² - 1)(x - 4)

Front

What is the GCF of the polynomial 2x² - 4x + 8?

Back

The GCF is 2.