Factoring Review

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax² + bx + c.

Front

How do you factor a trinomial of the form x² + bx + c?

Back

To factor a trinomial of this form, find two numbers that multiply to c and add to b, then express it as (x + m)(x + n), where m and n are the two numbers.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor they have in common.

Front

Factor the trinomial: x² + 12x + 36

Back

(x + 6)(x + 6) or (x + 6)².

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6).

Front

Factor the trinomial: x² - 5x - 24

Back

(x - 8)(x + 3).

Front

What is the first step in factoring by GCF?

Back

Identify the GCF of all the terms in the expression.

Front

Factor by GCF: 10x + 50

Back

10(x + 5).