Addition of polynomials can be solved in two methods.

(i) By arranging the like terms together and then add.

**For example:**

**1. Add: 5x + 3y, 4x – 4y + z and -3x + 5y + 2z**

First we need to write in the addition form.

Thus, the required addition

= (5x + 3y) + (4x – 4y + z) + (-3x + 5y + 2z)

**= **5x + 3y + 4x –
4y + z - 3x + 5y + 2z

Now we need to arrange all the like terms and then all the like terms are added.

= 5x + 4x - 3x + 3y – 4y + 5y + z + 2z

= 6x + 4y + 3z

First we need to write in the addition form.

Thus, the required addition

= (3a

= 3a

Here, we need to arrange the like terms and then add

= 3a

= 5a

(ii) By arranging expressions in lines so that the like terms with their signs are one below the other i.e. like terms are in same vertical column and then add the different groups of like terms.

**For example:**

**1. Add: 7a + 5b, 6a – 6b + 3c and -5a + 7b + 4c**

First we will arrange the three expressions one below the other, placing the like terms in the same column. Now the like terms are added by adding their coefficients with their signs. |

Therefore, adding 7a + 5b, 6a – 6b + 3c and -5a + 7b + 4c is 8a + 6b + 7c.

First we will arrange the like terms in the vertical column and then the like terms are added by adding their coefficients with their signs. |

Thus, we have learnt how to solve addition of polynomials in both the methods.

**● ****Terms of an Algebraic Expression**

Types of Algebraic Expressions

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

**From Addition of Polynomials to HOME PAGE**

**Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.**

**● ****Terms of an Algebraic Expression - Worksheet**

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

Worksheet on Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

Worksheet on Multiplying Monomial and Polynomial

## New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.