Factoring Expressions (Trial & Error)

Related Topics:
Common Core (Algebra)
Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn to use the structure of an expression to identify ways to rewrite it.
For example, see x4 – yas (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).

Suggested Learning Targets

• Use factoring techniques such as common factors, grouping, the difference of two squares, the sum or difference of two cubes, or a combination of methods to factor completely.
• Simplify expressions including combining like terms, using the distributive property and other operations with polynomials. Common Core: HSA-SSE.A.2

Factor by Trial and Error (Leading Coefficient = 1)

Factoring trial and error
We will practice several problems with factoring by trial and error (short way) which is when the coefficient of the squared term is just 1.

Factoring a Trinomial with Leading Coefficient of 1
This video explains the basics on how to factor a trinomial in the form x^2 + bx + c.

Factor Trinomials When A equals 1
This video provides examples of how to factor a trinomial when the leading coefficient is equal to 1. (a = 1)

Factoring Basic Trinomials with a = 1

Factor by Trial and Error (Leading Coefficient ≠ 1)

How to Factor Trinomials: Trial & Error Method?

Factoring Trinomials using Trial & Error

Factoring Trinomials (A quadratic Trinomial) by Trial and Error.

Factoring Trinomials by Trial and Error - Ex 2.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.