Multiplying Binomials

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as 5x + 11.

Front

What does the F in FOIL stand for?

Back

The F in FOIL stands for 'First', referring to multiplying the first terms of each binomial.

Tags

CCSS.HSA.APR.A.1

Front

Multiply the binomials: (x + 5)(x + 4)

Back

x² + 9x + 20

Tags

CCSS.HSA.APR.A.1

Front

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

Factor the expression: x² + 11x + 24

Back

(x + 8)(x + 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.

Tags

CCSS.6.EE.A.3

Front

What is the area of a rectangle with length (x + 3) and width (x + 2)?

Back

The area is (x + 3)(x + 2) = x² + 5x + 6.

Tags

CCSS.HSA.APR.A.1

Front

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

Back

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

Tags

CCSS.HSA.APR.C.4

Front

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

Back

The result is 2x² + 11x + 12.

Tags

CCSS.HSA.APR.A.1

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.