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Adding and Subtracting Polynomials

In this lesson, we will look into adding and subtracting polynomials

 

 

Adding Polynomials

Adding polynomials involves combining like terms.

 

Example:

Add the polynomials 5x – 2 + y and –3y + 5x + 2

Solution:

5x – 2 + y + (–3y + 5x + 2)

= 5x + 5x + y – 3y – 2 + 2

= 10x – 2y

 

 

Example:

Find the sum of –7x3y + 4x2y2 – 2 and 4x3y + 1 – 8x2y2

Solution:

–7x3y + 4x2y2– 2 + 4x3y + 1 – 8x2y2

= –7x3y + 4x3y + 4x2y2– 8x2y2 – 2 + 1

= –3x3y – 4x2y2– 1

 

 

Subtracting Polynomials

To subtract polynomials, remember to distribute the – sign into all the terms in the parenthesis.

Example:

Simplify –4x + 7 – (5x – 3)

Solution:

–4x + 7 – (5x – 3)

= –4x + 7 – 5x + 3

= –4x + 10

 

Example:

Simplify (5x2 + 2) – (– 4x2 + 7) + (– 3x2– 5)

Solution:

(5x2 + 2) – (– 4x2 + 7) + (– 3x2– 5)

= 5x2 + 2 + 4x2– 7 – 3x2– 5

= 5x2 + 4x2– 3x2 + 2 – 7 – 5

= 6x2– 10

 

 

Videos

Adding and Subtracting Polynomials
Adding polynomials and subtracting polynomials is essentially combining like terms of polynomial expressions. When adding and subtracting polynomials, they can either be arranged vertically or grouped according to degree. A knowledge of polynomial vocabulary is important before adding and subtracting polynomials. Multiplying monomials and binomials is another type of operation with polynomials.

Adding and Subtracting Polynomials

 

 

 

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