A polynomial expression of degree is often referred to as a quadratic expression.
Some quadratics are not easily factored. The following hints will make the job easier:
• In the difference of squares, a2 − b2, either of these terms a or b could be a binomial itself.
• The product-sum method is useful, but can be tricky when the leading coefficient is not 1.
• Trial and error is a viable strategy for finding factors.
Check your answers by multiplying the factors to ensure you get back the original quadratic expression.
Lesson 3 Exercises
Factor the expanded form of these quadratic expressions. Pay particular attention to the negative and positive signs.
Lesson 3 Problem Set Sample Solutions
Factor the following quadratic expressions.Lesson 4 Opening Exercises
Factor the following quadratic expressions:
6x2 + 5x - 6
6x2 + 7x - 20
-4x2 - 4x - 1
Lesson 4 Summary
While there are several steps involved in splitting the linear term, it is a relatively more efficient and reliable method for factoring trinomials in comparison to simple guess-and-check.
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.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.