Factoring is an important term in mathematics which let
you to fi9nd t6he products of a polynomial. Well, you will need to practice
this as it is easy, but without practice, one will not be able to understand
its pattern. For factoring polynomials,
one should be excellent at factoring numbers plus must have the basic knowledge
of algebra. So, today, we are looking for the methods for factorizing these
polynomials and convert it into a binomial.

**Steps to factories polynomials**

Yes, you need to learn steps as one should know as which
to do at first to factories it. The most significant term included in it is
Greatest Common factor which is an abbreviation of GCF.

·
In the first step, you need to find out the
greatest common factor. If you don’t
know what GCF is, then let me tell you that it is the biggest expression that
will be common in all the terms. In other words, while solving polynomials, one
has to find a number which must be a common factor or number in all the terms
from which it is obtained.

·
In case you will get a trinomial in which the
equation contains three terms and for4 solving that terms one can take help of
a FOIL method.

·
In case, it is a binomial one should look for
the sum of cubes or different of squares. And after you factories all the
polynomials then one has to use zero as a product property to find the answers.

So, let’s start answering it:

Now, in the next step, consider 10 and factorize this
number. After you finish factorizing it, you will get 5 and two from it.

Now,

Well, we write (5x) and (-3x) to factorize these
polynomials. Besides his, always make sure that you will put right sign before
the number as a single wrong sign will give you the right answer. Besides this,
you need to know all the rules of signs.
Now, you have to take common
x from the equation like:

Now, after this whole calculation, you have to take zero
products for finding out the value x. Now,

x+5=0 which will give you x = -5 and (x-2) will give you, x=2.

So, this is the entire solution of the trinomial
equation. Well, there are still various things which you should consider while
factoring polynomial:

·
Make sure that you learn about the signs at
first because using proper sign is an essential part of the solution.

·
Remember this common rule of signs:

·
Besides this, arrange the middle terms in a
way that its sum will be equal to the last term
and its product will be equal to the middle
value of the equation.

Factoring polynomial is full of fun, and when you get
used to it, and then you will love to solve such problems. Math is just full of
fun when you start understating its concepts.