Factoring: GCF and Trinomials

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of two terms?

Back

List the factors of each term and identify the largest factor that appears in both lists.

Front

Factor out the GCF: 12x + 6

Back

6(2x + 1)

Front

What is the GCF of 18k and 15k^3?

Back

3k

Front

Factor: 56a^3 - 8a

Back

8a(7a^2 - 1)

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms.

Front

Factor: x^2 - 5x - 36

Back

(x + 4)(x - 9)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c, where a, b, and c are constants.

Front

How do you factor a trinomial of the form x^2 + bx + c?

Back

Find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

Factor Completely: m^2 - 6m - 27

Back

(m + 3)(m - 9)