Factor by GCF and Grouping

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers without leaving a remainder.

Front

How do you factor by grouping?

Back

1. Group terms with common factors. 2. Factor out the GCF from each group. 3. Factor out the common binomial factor.

Front

Factor the expression: 5n³ - 10n² + 3n - 6

Back

(5n² + 3)(n - 2)

Front

What is the first step in factoring a polynomial?

Back

Identify and factor out the Greatest Common Factor (GCF) from all terms.

Front

Factor the expression: 4b^5 + 4b^3 + 16b^2

Back

4b^2(b^3 + b + 4)

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means rewriting it as a product of its factors.

Front

Factor the expression: x^3 - 5x^2 + 5x - 25

Back

(x^2 + 5)(x - 5)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

Factor the expression: 2x^3 - 8x^2 - x + 4

Back

(2x^2 - 1)(x - 4)

Front

What is the difference between factoring by GCF and factoring by grouping?

Back

Factoring by GCF involves finding the largest common factor, while factoring by grouping involves rearranging terms into groups to factor them.