Algebra I : Semester II : Polynomials

Sections:

Introduction  |   Section 1  |   Section 2  |   Section 3  |  Section 4 | Section 5  |  Section 6
  Section Two

Part 1  |  Part 2

Algebra 1: Section 2: Polynomials

Addition of Polynomials

1  Click here for a presentation on Adding and Subtracting Polynomials.

Now let’s write the rules for adding and subtracting polynomials.
2  To Add Polynomials

  • Group like terms together.
  • Add the coefficients of the like terms.

3  To Subtract Polynomials

  • Change all signs in the second polynomial to their opposite.
  • Group like terms together.
  • Add the coefficients of the like terms.

Example 1: Adding Polynomials
Simplify (5x2 – 3x + 10) + (4 – 7x + 2x2).

solution

Example 2:  Subtracting Polynomials
Simplify (3x3 + 2x2 – x + 1) – (2x3 + 5x – 8).

solution

Example 3:  Finding a Perimeter

4

What is the perimeter of the triangle above?

solution

Example 4:  Finding a Third Side

5

The triangle above has a perimeter of 6x + 5y. What is the measure of the third side?

solution

6  Practice
Click "New Problem" and add or subtract the polynomial expression given. To check your answer, click "Show Answer." Click "New Problem" again to try another example.

Sometimes exponents are written with the ^ symbol. For example x^2 means the same as x2 and as x squared. Keep this in mind when doing this activity.

9Section 2 Homework(10 points)

It’s time to complete your homework. Find the section homeworklink to submit it for a grade. You may take this only one time, so check your understanding of the material before completing your homework, and do your best.

Now go on to the next sectionNext

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