Accuplacer Study Modules: Adding and Subtracting Polynomials, Study notes of Algebra

Steps and examples for adding and subtracting polynomials. It includes instructions, sample problems, and links to khan academy resources. Useful for students preparing for accuplacer exams or learning algebra.

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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Accuplacer Study Modules
TOPIC: Add and Subtract Polynomials
Anne Arundel County Public Schools Page 1 of 3
Office of Secondary Mathematics 06/2016
Khan Academy Link: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-
topic/polynomial-basics-core-algebra/v/adding-and-subtracting-polynomials-2
Steps to Add Polynomials: To add polynomials we simply add any like terms together.
Step 1: Arrange each polynomial with the term with the highest degree first then
in decreasing order of degree.
Step 2: Group the like terms. Like terms are terms whose variables and exponents
are the same.
Step 3: Simplify by combining like terms.
Sample Problem: Add the polynomials. (2x2 + 6x +5) + ( 3x2 โ€“ 2x โ€“ 1)
Step 1: The polynomials are in decreasing order of degree.
Step 2: Group the like terms.
2x2 + 3x2 + 6x โ€“ 2x + 5 -1
Step 3: Simplify by combining the like terms
2x2 + 3x2 + 6x โ€“ 2x + 5 -1
5x2 + 4x + 4
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Download Accuplacer Study Modules: Adding and Subtracting Polynomials and more Study notes Algebra in PDF only on Docsity!

TOPIC: Add and Subtract Polynomials

Anne Arundel County Public Schools Page 1 of 3

Khan Academy Link: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials- topic/polynomial-basics-core-algebra/v/adding-and-subtracting-polynomials-

Steps to Add Polynomials: To add polynomials we simply add any like terms together.

Step 1: Arrange each polynomial with the term with the highest degree first then in decreasing order of degree.

Step 2: Group the like terms. Like terms are terms whose variables and exponents are the same.

Step 3: Simplify by combining like terms.

Sample Problem: Add the polynomials. (2x 2 + 6x +5) + ( 3x 2 โ€“ 2x โ€“ 1)

Step 1: The polynomials are in decreasing order of degree.

Step 2: Group the like terms.

2x 2 + 3x 2 + 6x โ€“ 2x + 5 -

Step 3: Simplify by combining the like terms

2x 2 + 3x 2 + 6x โ€“ 2x + 5 -

5x 2 + 4x + 4

TOPIC: Add and Subtract Polynomials

Anne Arundel County Public Schools Page 2 of 3

Steps to Subtract Polynomials:

To subtract Polynomials, first reverse the sign of each term we are subtracting (turn โ€œ+โ€ into โ€œ-โ€œ, and โ€œ-โ€œ into โ€œ+โ€), then follow the previous steps to add polynomials.

Sample Problem: Subtract the polynomials.

5y^2 + 2xy โ€“ 9 โ€“ (2y 2 +2xy โ€“ 3)

Step 1: Reverse the sign of each term we are subtracting.

5y^2 + 2xy โ€“ 9 - (2y^2 + 2xy โ€“ 3)

5y^2 + 2xy โ€“ 9 + (-2y 2 - 2xy + 3)

Step 2: The polynomials are in decreasing order of degree.

Step 3: Group the like terms.

5y^2 โ€“ 2y^2 +2xy โ€“ 2xy โ€“ 9 + 3

Step 4: Simplify by combining the like terms.

5y^2 โ€“ 2y^2 +2xy โ€“ 2xy โ€“ 9 + 3

3y^2 โ€“ 6

Now complete the four practice problems on the next page and check your answers!