Factoring (GCF, Grouping & Trinomials)

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 the expression 2c² + 4c - 84?

Back

2(c + 7)(c - 6)

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials and stands for First, Outside, Inside, Last.

Front

Factor the trinomial x² + 4xy + 4y².

Back

(x + 2y)(x + 2y)

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials.

Front

How do you factor by grouping?

Back

Group terms with common factors, factor them out, and then factor the resulting expression.

Front

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

Back

(5n² + 3)(n - 2)

Front

What does it mean to factor completely?

Back

To factor completely means to break down a polynomial into its simplest factors.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

What is the difference between factoring and expanding?

Back

Factoring breaks down an expression into simpler components, while expanding multiplies out the components.