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Factor Comun Por Agrupacion Ejercicios

Ejercicios de factor comun por agrupacion de terminos
Ejercicios de factor comun por agrupacion de terminos from es.slideshare.net

Mathematics is one of the most complex subjects, but it is also one of the most important ones. It is a subject that requires a lot of practice and understanding of the concepts to be able to solve problems. One of the most important topics in mathematics is factoring. Factoring is the process of finding the factors of a given polynomial. In this article, we will discuss factor comun por agrupacion ejercicios which is a technique used to factor polynomials.

What is Factor Comun Por Agrupacion?

Factor comun por agrupacion is a technique used to factor polynomials that have four or more terms. This technique involves grouping the terms of the polynomial in such a way that it becomes easier to factor. The first step in factor comun por agrupacion is to look for a common factor among the terms of the polynomial. Once you have identified the common factor, you can group the terms together.

Example:

Let's consider the polynomial 2x + 6y + 3x + 9y. The common factor here is 2. So, we can group the terms as (2x + 6y) + (3x + 9y). Now, we can factor out 2 from the first group and 3 from the second group. This gives us 2(x + 3y) + 3(x + 3y). We can now group the terms again to get (2 + 3)(x + 3y), which simplifies to 5(x + 3y).

How to Solve Factor Comun Por Agrupacion Ejercicios?

Now that we have understood what factor comun por agrupacion is, let's look at how to solve factor comun por agrupacion ejercicios. The first step is to identify the common factor among the terms of the polynomial. Once you have identified the common factor, group the terms together. Now, factor out the common factor from each group. This will give you two smaller expressions. Finally, factor out the common factor from these two smaller expressions.

Example:

Let's consider the polynomial 6x^2 + 9xy + 2x + 3y. The common factor here is 3. So, we can group the terms as (6x^2 + 9xy) + (2x + 3y). Now, we can factor out 3 from the first group and 1 from the second group. This gives us 3(2x^2 + 3xy) + 1(2x + 3y). We can now group the terms again to get 3(2x^2 + 3xy + 2x + 3y). This expression is already factored using the factor comun por agrupacion technique.

Tips for Solving Factor Comun Por Agrupacion Ejercicios

Here are some tips that will help you solve factor comun por agrupacion ejercicios:

  • Always look for a common factor among the terms of the polynomial.
  • Group the terms in such a way that it becomes easier to factor.
  • Factor out the common factor from each group.
  • Factor out the common factor from the smaller expressions obtained after factoring out the common factor from the groups.
  • Check your answer by expanding the factored expression.
  • Common Mistakes to Avoid

    Here are some common mistakes that students make while solving factor comun por agrupacion ejercicios:

  • Not looking for a common factor among the terms of the polynomial.
  • Grouping the terms in the wrong way.
  • Forgetting to factor out the common factor from each group.
  • Forgetting to factor out the common factor from the smaller expressions obtained after factoring out the common factor from the groups.
  • Not checking the answer by expanding the factored expression.
  • Conclusion

    Factor comun por agrupacion is a useful technique for factoring polynomials that have four or more terms. This technique involves grouping the terms of the polynomial in such a way that it becomes easier to factor. The key to solving factor comun por agrupacion ejercicios is to identify the common factor among the terms of the polynomial and to group the terms in a way that makes it easier to factor. By following the tips mentioned in this article and avoiding the common mistakes, you can solve factor comun por agrupacion ejercicios with ease.

    Practice makes perfect!

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