Multiply Binomials / Factoring Trinomials

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as (x² + 7x + 12).

Front

How do you factor the trinomial k² + 7k + 10?

Back

(k + 2)(k + 5) is the factored form.

Front

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

Back

4x² - 9.

Front

What is the result of multiplying (x - 5)(x - 4)?

Back

x² - 9x + 20.

Front

What is the FOIL method?

Back

FOIL stands for First, Outside, Inside, Last; a method for multiplying two binomials.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the difference of squares?

Back

The difference of squares is a special product of the form a² - b² = (a + b)(a - b).

Front

What is the sum of cubes formula?

Back

a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the product of (x + 9)(x - 3)?

Back

x² + 6x - 27.