Multiplying Binomials & Trinomials

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as (x^2 + 2x + 1) or (3x - 5 + 7).

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials, such as (a + b)(c + d).

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 each term in a binomial or trinomial.

Tags

CCSS.6.EE.A.3

Front

How do you multiply a binomial by a trinomial?

Back

To multiply a binomial by a trinomial, distribute each term of the binomial to each term of the trinomial and combine like terms.

Tags

CCSS.HSA.APR.A.1

Front

What is the product of (5x + 2)(x^2 - 3x + 6)?

Back

5x^3 - 13x^2 + 24x + 12.

Tags

CCSS.HSA.APR.A.1

Front

What is the product of (3x - 5)(4x^2 - 2x - 3)?

Back

12x^3 - 26x^2 + x + 15.

Tags

CCSS.HSA.APR.A.1

Front

What is the product of (x - 2)(3x^2 + 2x - 4)?

Back

3x^3 - 4x^2 - 8x + 8.

Tags

CCSS.HSA.APR.A.1

Front

What is the product of (x - 3)(x^2 + 2x + 7)?

Back

x^3 - x^2 + x - 21.

Tags

CCSS.HSA.APR.A.1

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last.

Tags

CCSS.HSA.APR.A.1