# Algebra - Polynomials (addition and subtraction)

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 Author: randycapped ID: 267549 Filename: Algebra - Polynomials (addition and subtraction) Updated: 2014-03-23 21:55:40 Tags: Polynomials Folders: Algebra Description: Polynomials (addition and subtraction) Show Answers:

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1. GIVEN THE POLYNOMIAL:

a. List the terms of the polynomial.

b. Write the polynomial in descending order.

c. State the degree of the polynomial and the  leading coefficient.
• a. List the terms of the polynomial.

• b. Write the polynomial in descending order.

c. State the degree of the polynomial and the  leading coefficient.

The degree is 5 and the leading coeffecient is 1.
2. GIVEN THE POLYNOMIAL:

a. Identify the degree of each term.

b. Identify the degree of the polynomial.
• a. Identify the degree of each term.

b. Identify the degree of the polynomial.

6

+
• COMBINE LIKE TERMS AND SOLVE:

+
• GROUP LIKE TERMS:
• 6.1a2 + (-7.2a2) - 8.2c - 3c +4.7a2c + (-9a2c)

=
6. Subtract the polynomials.

-

• Change to addition: (.01c2  - .03cd +  .05d2) + (-.05c2) + (-.07cd) + .02d2
• Combine like terms:
• .01c2  + (-.05c2) - .03cd + (-.07cd) +  .05d2 + .02d2
• SOLVE:
• -.04c2 - .1cd + .07d2

7. SUBTRACT:     FROM
• RULE: SUBTRACT A FROM B
•           = B - A

Distribute:

Regroup Terms:

Get common denominators:

Solve:

8. The perimeter of a triangle can be represented by the polynomial 19x - 3. Find an expression that represents the length of the missing side.

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