# Polynomial functions

by
**ke35609**

Last updated 6 years ago

** Discipline: **

Math ** Subject: **

Pre-Calculus
** Grade:**

10

chapter 3 Polynomial functions By: khadeil Ergas

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lesson 3-1 - 3-4

Sections

1. Polynomials2MultipyingPolynomials3DividingPolynoials4.FactoringPolynomials

Vocabulary-monomial- is a number or a product of number and a variables with whole number exponents-polynomial- is a monomial or sum of differences of monomials-degree of a monomial- is the sum of the exponents of the variables-degree of a polynomial- is given by the term with the greatest degree.-leading coefficient- is the coefficient of the first term-bionomial-a polynomial with two terms-trinomoal-a polynomial with three terms-polynomial function- is a function whose rule is a polynomial -synthetic divison-is a shorthand method of dividing a polynomial by a linear bionomial by using only the coefficient

4- helpful website: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-divisionhttp://www.mathsisfun.com/algebra/polynomials-multiplying.htmlhttp://www.mathsisfun.com/algebra/polynomials-adding-subtracting.htmlhttp://www.purplemath.com/modules/remaindr.htm

real life situation2. you have to earn at least $3000 this summer, to be able to return to college:You found a construction job that will let you take home $120 per day. The job site is 50 miles from your home. You must drive 100 mi every day.The car you own costs 25 cents a mile to operate (It's an old one).You bring your own lunch (using your parents food) so no expense there.How many days will you have to work to have $3000 at the end of the summer Let x = number of days worked, f(x) = 3000 ,f(x) = 120x - x(.25*100) Wages - car expense = required amt120x - x(.25*100) = 3000120x - x(25) = 3000120x - 25x = 300095x = 3000x = 3000/95x = 31.58 days, so let's say you must work 32 days to reach your goal goal

Real life situation1. 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 I want to double the recipe, you have to multiply everything by 2.

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