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 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.

Tags

CCSS.HSA.APR.A.1

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.

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CCSS.HSA.APR.A.1

Front

Simplify: (p − 8)²

Back

p² - 16p + 64

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CCSS.6.EE.A.3

Front

Multiply: (3x – 1)(x + 5)

Back

3x² + 14x - 5

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CCSS.HSA.APR.A.1

Front

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

Back

x² - 16x + 63

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CCSS.HSA.APR.A.1

Front

Simplify: (x - 7)²

Back

x² - 14x + 49

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CCSS.HSA.APR.C.4

Front

Multiply: (x - 3)(x + 10)

Back

x² + 7x - 30

Tags

CCSS.HSA.APR.A.1

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.

Tags

CCSS.6.EE.A.3

Front

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

Back

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

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CCSS.HSA.APR.C.4