Multiplying Polynomials (Box Method)

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, y² and 2y² are like terms.

Front

What is the Box Method for multiplying polynomials?

Back

The Box Method involves drawing a box divided into sections to organize the multiplication of polynomials, allowing for systematic distribution of each term.

Front

What is the expanded form of the expression (x²)(x³)?

Back

The expanded form is x⁵.

Front

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

Back

The expanded form is x² + 9x + 18.

Front

How do you identify the degree of a polynomial?

Back

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

Front

What is the difference between monomials, binomials, and polynomials?

Back

A monomial has one term, a binomial has two terms, and a polynomial has more than two terms.

Front

What is the distributive property in relation to polynomials?

Back

The distributive property states that a(b + c) = ab + ac, which is used to multiply a term by a polynomial.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent.

Front

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

Back

The result is x² + 7x + 10.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.