What is a factoring method in mathematical aspects?
First, it is important for us to understand what a “factoring” means in mathematical point of view. It means that two numbers have to multiply to equal constant term “c” and yet again sum up to “b” the coefficient on the x term. This method is used to solve quadratic equations that are factor able. So, the factoring calculator tries to solve the equation of it as long as the right values of the coefficients have been fed to that calculator.
Normally, the quadratic equation takes the form of whereby the values of a, b and c are known while that of x has to be solved or obtained from the equation after it has been solved. In other words, it is safe to say that a, b and c are the numerical coefficients of the given quadratic equations.
To understand the factoring formula better, it is best to illustrate it using an example.
Solving quadratic equations using factoring method
We can take an equation like and have been told to factor it.
First, we have to find the factors of 6 that add up to 5. But because we can write 6 as the product of 2 and 3, and the two also add up to 5, i.e. 2+3=5. Then, I will have to use 2 and 3 instead of the initial 6.
The above polynomial can be simplified further into the form of (x + m) and (x + n)
Therefore, it is all right to rewrite is this way (x + 2) (x +3).
= (x + 2) (x +3). You can leave it there or continue to get the values of x, which will be
X = – 2 and x =-3 However, this really won’t change anything. So you can leave it at the (x + 2) (x +3) point.
We can take a look at one more example for you to understand it clearly.
The best way to approach such the problem is to apply the differences of squares rule which is
=(x + y) (x – y)
Therefore, = ((x – 2)-3) ((x – 2) +3). Simplifying it further will land us on these solutions:
(x – 5)(x + 1)
These two examples have been clearly explained. You can look for many other examples online or on books. There is this website that will save you a lot of time since it has many examples that have been explained step wise. The site is www.quickmath.com. You can visit the page and look for the factoring page within the home page. When you click on us, you will be redirected to a web page that contains the information I am talking about. You can also raise the alarm if you think the answer they gave is not correct. You will have to send them an email and clearly, tell them what you think is the right answer, and I am sure they will update it immediately.