Want to know how Factor Calculator Works?

Factor calculator tries to simplify the any given quadratic equation. The equation is normally in the form of . The calculator then walks it way down until it gets an answer. The values of a, b and c are always known while that of x has to be solved. In this scenario, x is the variable, while a, b and c are the numerical coefficients of the given quadratic equation. One more thing, “a” should never be equal to zero otherwise the equations ceases to be a quadratic equation but instead becomes a linear equation.

So, for factor calculator to work effectively using the factoring method, the equation should be factor able otherwise another method will have to be deployed in order for you to get an answer of the value of variable x. when I say factor able, I mean that there have to be two numbers that have to multiply to the equal constant value of “c” and at the same time these two numbers need, to sum up to the numerical coefficient value of “b” the numbers are called the factors of “c”.

Illustration by example

People always tend to remember how something works when they have been shown an example and have also tried another example by their selves. So for you not to forget, I will show you two examples but make sure you go and look for other examples on your own.

Example 1

You have been told to factor 

Which two numbers can I multiply them together and get -4 and at the same time sum them up to get 3? They should definitely be 4 and -1.

Therefore, when substituted, they should be

The answer is (x -1) (x + 4). You can double check the answer by expanding what you got. Always, it should lead you back to the initial quadratic equation.

Example 2

Try and factor 

a*c = 6*-6 = 36 and b = 5.

The positive factors of -36 are; 1, 2, 3, 4,6,9,12,18 and 36

But the product of the two numbers is -36 and the sum is 5. It, therefore, one of the numbers has to be negative in order to satisfy this equation.  The best combination to satisfy this will thus has to be

-4 and 9, such that -4 * 9 = -36 and -4 + 9 = 5

Substituting 5x will result in an equation like this

From there, we can then factor the first two and then the rest.

This is what you should get if you are doing it on your book,

2x (3x-2) +3(3x-2). Our common factor here is (3x-2), and thus the final result should be

(2x+3) (3x-2).

You can try to expand it on your own. The answer should be equal to our first or original equation. If not, then you may have missed something along the way. I urge you to go retrace your steps and find out where you went wrong.

You can always go online and look for tutoring sites. The best that most people visit is quickmath.com. It is really cool.


Author: doyourmath

Hello, I am Ivan Wilson. I live in San Antonio, TX, USA. I love math.

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