Polynomial Word Problems

                    Lesson 1

Problem:                   The sides of a triangular pool are represented by the expressions: 

2x² + 2, 8x² – 2x, and 3x + 2.

Write the simplest expression.

Solution                    A triangle is represented by the expressions

Step 1:                       

2x² + 2, 8x² – 2x and 3x + 2.

Solution The simplest expression of triangle is formed by combining like terms.

Step 2:                        

Solution = 2x² + 8x² - 2x + 3x + 2 + 2

Step 3:       

= 10x² + x + 4

                                                             Solution                    The answer is:  10x² + x + 4

 Step4

Complete  

                                                            Try two practice problems:  

Do the following:

A.	The sides of a triangular playground are represented by the expressions 5x^2 +8, 8x^2 – 3x, and 3x + 6. Write the simplest expression.
B.	In a writing competition, Smith gives Bob a 72 words head start. After t seconds, Bob have written 3t + 72 words from the first word and Smith have written 4t words from the first. How far ahead of Smith is Bob after t seconds?

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