# Real Life Examples on Adding and Multiplying Polynomials

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

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: -6 mn+18 m²-5 n²-14 m²+8 mn-6 n² Ex of Subtracting Polynomial Equation: 4 x²+12 xy-7 x²y-(20 xy-5 xy²+8 x²y) Ex of Multiplying Polynomial Equation: (2 n²-3)(n²+5 n-1) Ex of Dividing Polynomial Equation: (2 x²-5 x-3)÷(x-3)

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

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.

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

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 = 1 A +(1/4)B +(1/3)C + 2 D +(1/2)E If wanted, you can double the recipe, by multiplying everything by 2

Work Cited Roberts, Donna. "Applied Problems with Polynomials. " Regents Exam Prep Center. Oswego City School District Regents Exam Prep Center, 2012. Web. 06 Jan. 2014. <http: //www. regentsprep. org/Regents/math/ALGEBRA/A V 3/Papply. htm>. "Describe Two Real-Life Examples Where Polynomials Are Used Either At Home Or On The Job. " Yahoo! Answers. Yahoo!, 2009. Web. 06 Jan. 2014. <http: //answers. yahoo. com/question/index? qid=2008121 3184428 AAz. BCt. H>.