Factor Trinomials BOX Method

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two terms?

Back

List the factors of each term and identify the largest factor that appears in both lists.

Front

What does it mean to factor out a negative?

Back

Factoring out a negative means to take out a negative number from a term, which changes the signs of the remaining terms.

Front

What is the BOX method in factoring trinomials?

Back

The BOX method is a visual way to organize and factor trinomials by creating a box to arrange the terms.

Front

What are the steps in the BOX method for factoring trinomials?

Back

1. Identify the GCF. 2. Set up a box. 3. Fill in the box with the terms. 4. Factor the box.

Front

If a trinomial is in the form ax^2 + bx + c, what do a, b, and c represent?

Back

a is the coefficient of x^2, b is the coefficient of x, and c is the constant term.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

How do you determine the factors of a trinomial?

Back

Look for two numbers that multiply to give the constant term and add to give the coefficient of the middle term.