Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as (a + b) or (x - 4).

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

FOIL stands for First, Outside, Inside, Last. It is a method used to multiply two binomials by multiplying the terms in these four combinations.

Front

Simplify: (p - 8)²

Back

p² - 16p + 64

Front

Simplify: (x - 4)(x - 6)

Back

x² - 10x + 24

Front

Simplify: (x - 9)(x - 7)

Back

x² - 16x + 63

Front

What is the result of (2x + 8)(5x + 1)?

Back

10x² + 42x + 8

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 a parenthesis.

Front

What is the difference between a polynomial and a binomial?

Back

A polynomial is a mathematical expression that can have one or more terms, while a binomial specifically has exactly two terms.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.