# Printable Math Sheets For 3Rd Grade latest 2023

You are searching about Printable Math Sheets For 3Rd Grade, today we will share with you article about Printable Math Sheets For 3Rd Grade was compiled and edited by our team from many sources on the internet. Hope this article on the topic Printable Math Sheets For 3Rd Grade is useful to you.

Page Contents

## Factoring Polynomials By GCF

To factor a polynomial, first check if there is a greatest common factor in the terms of the polynomial. Polynomials cannot be factored without knowledge of GCF.

If PGCF is so important for factoring polynomials, why not practice the greatest common factor first?

The greatest common factor (GCF) is the largest number that divides the two or more given numbers. For example; GCF of 8 and 6 is 2, GCF of 6 and 9 is 3, and GCF of 6 and 12 is 6.

Moreover, the algebraic expression can have GCF. For example; “3a” and “5a” have the GCF like “a” and “3pk” and “6pr” have GCF as “3p”.

Another example that seems important to me for this presentation is thePCS of “2a³b²c”, “6a²b²” and “8a²b²c²”.

In this example, the PGCF for 2, 6, and 8 is 2. In the case of variables with these numbers, the PGCF of“a³b²c”, “a²b²” and “a²b²c²” is “a²b²” because it is contained in all three terms. Therefore, the PGCF of the given expressions is “2a²b²”

With the above concepts of greatest common factor in mind, let’s do the following examples, to explore factoring polynomials.

1. 3ab – 6

2. 10x² + 5xy

3. 2ab²c – 6abc

4. 6p²q + 9p²q² – 6pq²

5. 10x³ – 15x²y – 5x²yz²

Let’s consider the above issues one by one.

1. 3ab – 6

In this binomial, the PGCF between “3ab” and “- 6” is “3” because 6 = 3*2. Draw 3 from the two terms and write the remaining factors in parentheses as shown below;

= 3(ab ​​- 2)

Note that when GCF 3 is removed, the remaining factors are written in parentheses.

2. 10x² + 5xy

GCF of “10x²” and “5xy” is “5x” and removing this common factor, the binomial can be written as below:

= 5x (2x + y)

3. 2ab²c – 6abc

= 2abc(b – 3) is the factorized form of the given binomial.

4. 6p²q + 9p²q² – 6pq²

We are given a trinomial with the greatest common factor of “3pq”. Draw “3pq” from the three terms to factor the given trinomial.

= 3pq (2p + 3pq + 2q) is the factorized form of the given trinomial.

5. 10x³ – 15x²y – 5x²yz²

Again, the given polynomial is a trinomial and the greatest common factor of its terms is “5x”. To factor the given trinomial, draw “5x” from the three terms as shown below:

= 5x (2x – 3xy – 5xyz²)

I hope the above explanation is enough to understand the factorization polynomials by removing the GCF.

Sincere friendships

Manjit Singh.

If you have any questions about Printable Math Sheets For 3Rd Grade, please let us know, all your questions or suggestions will help us improve in the following articles!

The article Printable Math Sheets For 3Rd Grade was compiled by me and my team from many sources. If you find the article Printable Math Sheets For 3Rd Grade helpful to you, please support the team Like or Share!

Rate: 4-5 stars
Ratings: 5627
Views: 14259268

## Search keywords Printable Math Sheets For 3Rd Grade

Printable Math Sheets For 3Rd Grade
way Printable Math Sheets For 3Rd Grade
tutorial Printable Math Sheets For 3Rd Grade
Printable Math Sheets For 3Rd Grade free
#Factoring #Polynomials #GCF

Source: https://ezinearticles.com/?Factoring-Polynomials-By-GCF&id=5419783

## Printable Math Games For Middle Schoolers latest 2023

You are searching about Printable Math Games For Middle Schoolers, today we will share with you article about Printable Math Games For Middle Schoolers was compiled and…

## Princeton International School Of Math And Science latest 2023

You are searching about Princeton International School Of Math And Science, today we will share with you article about Princeton International School Of Math And Science was…

## Praxis Math Content Knowledge Practice Test latest 2023

You are searching about Praxis Math Content Knowledge Practice Test, today we will share with you article about Praxis Math Content Knowledge Practice Test was compiled and…

## Practice Math Problems For 5Th Graders latest 2023

You are searching about Practice Math Problems For 5Th Graders, today we will share with you article about Practice Math Problems For 5Th Graders was compiled and…

## Practice Math Problems For 3Rd Graders latest 2023

You are searching about Practice Math Problems For 3Rd Graders, today we will share with you article about Practice Math Problems For 3Rd Graders was compiled and…

## Play Run On Cool Math Games latest 2023

You are searching about Play Run On Cool Math Games, today we will share with you article about Play Run On Cool Math Games was compiled and…