Factoring Binomials and Trinomials

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest positive integer that divides each of the given integers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

List the factors of each number and identify the largest factor they have in common.

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as (x^2 + 5x + 6) or (2y^2 - 3y + 1).

Front

Factor the expression: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the process of factoring?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: 2x^2 + 8x

Back

2x(x + 4)

Front

What is the significance of the GCF in factoring?

Back

The GCF can be factored out of an expression to simplify it and make further factoring easier.

Front

Factor the expression: k^2 + 7k + 10

Back

(k + 2)(k + 5)