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/ALGEB
RA/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=20
081213184428AAzBCtH>.