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.
Subtraction of Polynomials
The subtraction of polynomials is as simple as the addition of polynomials. Using columns would help us to match the correct terms together in a complicated subtraction. While subtracting polynomials, separate the like terms and simply subtract them. Keep two rules in mind while performing the subtraction of polynomials.
Rule 1: Always take like terms together while performing subtraction.
Rule 2: Signs of all the terms of the subtracting polynomial will change, + changes to - and - changes to +.
For example, we have to subtract 2x2 + 3x +2 from 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: Enclose the part of the polynomial which to be deducted in parentheses with a negative (-) sign prefixed. Then, remove the parentheses by changing the sign of each term of the polynomial expression.
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Answer:
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.
Subtraction of Polynomials
The subtraction of polynomials is as simple as the addition of polynomials. Using columns would help us to match the correct terms together in a complicated subtraction. While subtracting polynomials, separate the like terms and simply subtract them. Keep two rules in mind while performing the subtraction of polynomials.
Rule 1: Always take like terms together while performing subtraction.
Rule 2: Signs of all the terms of the subtracting polynomial will change, + changes to - and - changes to +.
For example, we have to subtract 2x2 + 3x +2 from 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: Enclose the part of the polynomial which to be deducted in parentheses with a negative (-) sign prefixed. Then, remove the parentheses by changing the sign of each term of the polynomial expression.