Multiplying Polynomials (Box Method)

Front

What is the Box Method in 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 combined to form the final polynomial.

Front

What does it mean for two terms to be considered 'like terms'?

Back

They have the same variable/exponent combination.

Front

How do you set up the Box Method for multiplying (x + 3)(2x - 4)?

Back

Place 'x + 3' on one side of the box and '2x - 4' on the other side, then fill in the boxes with the products of the terms.

Front

What is the result of simplifying 5x(-3x + 5)?

Back

-15x^2 + 25x.

Front

What is the expanded form of (x + 3)(x + 6)?

Back

x^2 + 9x + 18.

Front

What are the steps to multiply two binomials using the Box Method?

Back

1. Draw a box and divide it into sections based on the number of terms in each binomial. 2. Write one binomial along the top and the other along the side. 3. Multiply each term and fill in the boxes. 4. Combine like terms to get the final polynomial.

Front

What is a polynomial?

Back

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

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in front of the variables in a polynomial.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.