Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (a + b) or (x - 3).

Front

What is the product of (a + b)(c + d)?

Back

The product is ac + ad + bc + bd, which is obtained by applying the distributive property.

Front

What is the FOIL method?

Back

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

Front

Multiply the binomials: (x + 2)(x + 3)

Back

The product is x^2 + 5x + 6.

Front

What is the box method for multiplying binomials?

Back

The box method involves drawing a box divided into sections to organize the multiplication of each term in the binomials.

Front

Multiply the binomials: (2x + 1)(x - 3) using the box method.

Back

The product is 2x^2 - 5x - 3.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

Simplify: 3x(x + 7)

Back

The simplified expression is 3x^2 + 21x.

Front

What is the result of multiplying (3x + 2)(2x + 4)?

Back

The result is 6x^2 + 16x + 8.

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.