Addition of Polynomials example and step-by-step explanation please I need it now​

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Addition of Polynomials example and step-by-step explanation please I need it now​

How Can We Add Polynomials?

The addition of polynomials is simple. While adding polynomials, we simply add like terms. We can use columns to match the correct terms together in a complicated sum. Keep two rules in mind while performing the addition of polynomials.

Rule 1:  Always take like terms together while performing addition.

Rule 2:  Signs of all the polynomials remain the same.

For example, Add 2x2 + 3x +2 and 3x2 - 5x -1

Step 1: Arranging the polynomial in standard form. In this case, they are already in their standard forms.

Step 2:  Like terms in the above two polynomials are:

2x2 and 3x2; 3x and -5x; 2 and -1.

Step 3: Calculations with signs remaining same:

Like Terms

Like Terms are terms whose variables, along with their exponents, are the same. For example, 2x, 7x, -2x, etc are all like variables.

Unlike Terms

Unlike Terms are terms whose either variables, exponents, or both variables and exponents are the not same. For example, 2, 7x2, -2y2, etc are all unlike variables.