Real Life Examples on: Adding and Multiplying Polynomials

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Presentation transcript:

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: -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)

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

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 (2x + 4)(x + 4) - (2x)(x) = 196 2x² + 8x + 4x + 16 - 2x² = 196 12x + 16 = 196 12x = 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 = 1A +(1/4)B +(1/3)C + 2D +(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/AV3/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=20081213184428AAzBCtH>.