How Many Ways Are There To Factor Polynomials In Math Quadratic Equations – Factoring Method To Solve!

You are searching about How Many Ways Are There To Factor Polynomials In Math, today we will share with you article about How Many Ways Are There To Factor Polynomials In Math was compiled and edited by our team from many sources on the internet. Hope this article on the topic How Many Ways Are There To Factor Polynomials In Math is useful to you.

Quadratic Equations – Factoring Method To Solve!

Solving quadratic equations with factors

Quadratic equations are quadratic equations and there are many ways to solve them. Quadratic equations are similar to quadratic trinomials (most often when written in standard form); can be solved using the factor method for trinomials.

If students know how to factor a quadratic trinomial, then it is very easy for these students to solve many quadratic equations using this method.

For example; consider that there is the given equation “x² + 6x + 8 = 0” and we are asked to fix it. If we analyze this equation, the left side is a standard quadratic trinomial and can be easily factored.

Let’s start solving the equation as shown below:

x² + 6x + 8 = 0

Find two factors of “8” that add up to “6”. By brainstorming for the factors of the number ‘8’, we find that the numbers ‘4’ and ‘2’ are the necessary factors of ‘8’ which add up to ‘6’.

Therefore, we can factor the given polynomial “x² + 6x + 8” to, “(x + 2) (x + 4)” and we can rewrite our quadratic equation using the above factors as shown below:

(x + 2) (x + 4) = 0

Now the given factors are multiplied together to give zero (on the right side of the equation). As you know, if two numbers are multiplied to give zero, then either of them is equal to zero or both of them are equal to zero. Therefore, we can separate the two factors by writing them individually equal to zero, as shown below:

x + 2 = 0 or x + 4 = 0

Now, if we solve the above linear equations, we get two values ​​of “x” as shown in the next step:

x = – 2 or x = – 4

Hence, the solution of the given equation has been found and can be written as shown below:

x = -2, -4

Students can display all work together as shown below:

x² + 6x + 8 = 0

(x + 2) (x + 4) = 0

x + 2 = 0 or x + 4 = 0

x = – 2 or x = – 4

x = -2, -4 is the answer

Therefore, many quadratic equations can be solved using the factor method, but students should know how to factor quadratic polynomials. You can read my articles on factoring quadratic trinomials for more help.

Video about How Many Ways Are There To Factor Polynomials In Math

You can see more content about How Many Ways Are There To Factor Polynomials In Math on our youtube channel: Click Here

Question about How Many Ways Are There To Factor Polynomials In Math

If you have any questions about How Many Ways Are There To Factor Polynomials In Math, please let us know, all your questions or suggestions will help us improve in the following articles!

The article How Many Ways Are There To Factor Polynomials In Math was compiled by me and my team from many sources. If you find the article How Many Ways Are There To Factor Polynomials In Math helpful to you, please support the team Like or Share!

Rate Articles How Many Ways Are There To Factor Polynomials In Math

Rate: 4-5 stars
Ratings: 7611
Views: 90952339

Search keywords How Many Ways Are There To Factor Polynomials In Math

How Many Ways Are There To Factor Polynomials In Math
way How Many Ways Are There To Factor Polynomials In Math
tutorial How Many Ways Are There To Factor Polynomials In Math
How Many Ways Are There To Factor Polynomials In Math free
#Quadratic #Equations #Factoring #Method #Solve

Source: https://ezinearticles.com/?Quadratic-Equations—Factoring-Method-To-Solve!&id=5549916

Bài viết đã được tạo 1598

Bài liên quan

Bắt đầu nhập từ khoá bên trên và nhấp enter để tìm kiếm. Nhấn ESC để huỷ.

Trở lên trên