1. Real Life Examples on: Adding and Multiplying Polynomials
By: Sarah Santamaria
Teacher: Mr. Miguel
Class: Algebra 2
MT 2 Level 4

2. What are Polynomials?
Polynomial: Expression of more than two algebraic terms that contain different powers of the same variable(s).
Polynomials could be added, subtracted, multiplied and divided.
Ex of Adding Polynomial Equation:
-6mn+18m²-5n²-14m²+8mn-6n²
Ex of Subtracting Polynomial Equation:
4x²+12xy-7x²y-(20xy-5xy²+8x²y)
Ex of Multiplying Polynomial Equation:
(2n²-3)(n²+5n-1)
Ex of Dividing Polynomial Equation:
(2x²-5x-3)÷(x-3)

3. Ex of + and x Polynomials in Math
Ex of Adding Polynomial Equation:
-6mn+18m²-5n²-14m²+8mn-6n²
Combine Like Terms: -6mn+8mn, 18m²-14m², -5n²
-6n²
2mn+4m²-11
Ex of Multiplying Polynomial Equation:
(2n²-3)(n²+5n-1)
Foil Method: 3n4+10n³-2n²-3n²-15n+3
3n4+10n³-5n²-15n+3

4. Real Life Ex: Multiplying Polynomials
A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.

5. Step by Step: Finding the Answer
(2x + 4)(x + 4) - (2x)(x) = 196
2x² + 8x + 4x x² = 196
12x + 16 = 196
12x = 180
x = 15
The pool is 15 feet wide and 30 feet long.

6. Real Life Ex: Adding Polynomials
When you Reduce or Double a Recipe, you are Using a Polynomial.
For example: Pancakes
1 Cup Flour (We'll Call This A)
1/4 Cup Sugar (This is B)
1/3 Cup Milk (This is C)
2 Eggs (D)
1/2 Teaspoon of Vanilla (E)
Pancakes = 1A +(1/4)B +(1/3)C + 2D +(1/2)E
If wanted, you can double the recipe, by multiplying everything by 2

7. Work Cited
Roberts, Donna. "Applied Problems with Polynomials." Regents Exam Prep Center. Oswego City School District Regents Exam Prep Center, Web. 06 Jan <
"Describe Two Real-Life Examples Where Polynomials Are Used Either At Home Or On The Job." Yahoo! Answers. Yahoo!, Web. 06 Jan <