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.
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.