Factoring quadratic expressions
Since ( x 2) 2 = x 4, and the second term is x 4, then n = 2. Step 1: Identify if the trinomial is in quadratic form. Let’s factor a quadratic form trinomial where a = 1. This is a quadratic form trinomial, it fits our form: Here n = 2. Since factoring can be thought of as un-distributing, let’s see where one of these quadratic form trinomials comes from. If you need a refresher on factoring quadratic equations, please visit this page. To figure out which it is, just carry out the O + I from FOIL. To get a -5, the factors are opposite signs. (2 x + ?)( x + ?) = 2 x 2 + … The last term, – 5, comes from the L, the last terms of the polynomials. The first term, 2 x 2, comes from the product of the first terms of the binomials that multiply together to make this trinomial. Guess and check uses the factors of a and c as clues to the factorization of the quadratic. There are a lot of methods to factor these quadratic equations, but guess and check is perhaps the simplest and quickest once master, though mastery does take more practice than alternative methods.
![factoring quadratic expressions factoring quadratic expressions](https://i.ytimg.com/vi/8jRfTESH4NA/maxresdefault.jpg)
If a is NOT one, things are slightly trickier. That would be a – 5 and a + 3.įor more practice on this technique, please visit this page. To factor, we find a pair of numbers whose product is – 15 and whose sum is – 2. If a is one, then we just need to find what two numbers have the product c and the sum of b. Let’s consider two cases: (1) Leading coefficient is one, a = 1, and (2) leading coefficient is NOT 1, a ≠ 1.
#FACTORING QUADRATIC EXPRESSIONS HOW TO#
A quadratic form polynomial is a polynomial of the following form:īefore getting into all of the ugly notation, let’s briefly review how to factor quadratic equations. There is one last factoring method you’ll need for this unit: Factoring quadratic form polynomials.