Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (x + 3) or (2x - 5).

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials, resulting in a polynomial.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last, which refers to the order in which you multiply the terms.

Front

Calculate the product: (x - 4)(x - 6)

Back

x² - 10x + 24

Front

Calculate the product: (3x + 2)(2x + 4)

Back

6x² + 16x + 8

Front

Calculate the product: (x - 9)(x - 7)

Back

x² - 16x + 63

Front

Calculate the product: (x - 3)(x + 10)

Back

x² + 7x - 30

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

What is the result of (a + b)(a - b)?

Back

The result is a² - b², known as the difference of squares.

Front

What is the significance of the coefficients in a binomial?

Back

Coefficients are the numerical factors in front of the variables in a binomial, affecting the shape and position of the graph of the polynomial.