2B Factor By Grouping

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions and factor polynomials.

Front

How do you factor by grouping?

Back

To factor by grouping, you group terms with common factors, factor out the GCF from each group, and then factor out the common binomial factor.

Front

Factor the expression: 8n^3 + 2n^2

Back

2n^2(4n + 1)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

Factor the expression: x^2(x + 7) - 2(x + 7)

Back

(x + 7)(x^2 - 2)

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest form, where no further factoring is possible.

Front

Factor the expression: 6m^2 + 16m

Back

2m(3m + 8)

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as a + b or x^2 - 4.

Front

Factor the expression: 2n^2 - 8n^3

Back

2n^2(1 - 4n)

Front

What is the difference between factoring and expanding?

Back

Factoring involves breaking down an expression into simpler components, while expanding involves multiplying out the components to form the original expression.