Multiplying Polynomials (Box Method)

Front

What is the Box Method for multiplying polynomials?

Back

The Box Method is a visual way to multiply polynomials by creating a grid (or box) where each term of the first polynomial is placed along one side and each term of the second polynomial along the other. The products of the terms are filled in the boxes, and then like terms are combined.

Front

Multiply the binomials using the Box Method: (2x + 1)(x - 3).

Back

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable and exponent combination, allowing them to be combined.

Front

Simplify the expression: 5x(-3x + 5).

Back

Front

Write the expanded form of the product (x + 3)(x + 6).

Back

Front

What is the first step in the Box Method?

Back

The first step is to create a grid where you write the terms of the first polynomial along the top and the terms of the second polynomial along the side.

Front

How do you combine like terms after using the Box Method?

Back

After filling in the boxes with products, you add together the coefficients of the like terms to simplify the expression.

Front

What is the result of multiplying (x + 2)(x + 5) using the Box Method?

Back

Front

What does it mean to expand a polynomial?

Back

Expanding a polynomial means to multiply out the factors and combine like terms to write it in standard form.

Front

Multiply the binomials: (x + 4)(x - 2).

Back