I am a problem solver Not a problem maker I am an answer giver not an answer taker I can do problems I haven’t seen I know that strict doesn’t equal mean In this room we do our best Taking notes -practice –quiz- test The more I try the better I feel My favorite teacher is Mr. Meal…..ey

Homework Find out what Remainder Theorem Is. Write an explanation in your own words Also evaluating a function for a given value if f(x)=3x-9 what is f(2) and f(3) Which one is a root and why?

What’s on the test Analyzing a graph of a polynomial End Behavior,Domain Range,Increasing decreasing Polynomial division +factoring Finding roots/zeros/solutions-- mins and maxes on calculator Dif of cubes ==Sum of cubes Poly addition subtraction multiplication(including word problems) Binomial Theorem/expansion Working backwards given roots/mins and,maxes

Analyzing a graph of a polynomial End Behavior,Domain Range,Increasing decreasing Odd or even? Pos or Neg? Domain: Range: Increasing: Decreasing:

Lets talk about realistic domain and range Area of a Room=(x-3)(x+7) Ball being thrown

Polynomial division +factoring

Finding roots/zeros/solutions-- mins and maxes on calculator

Dif of cubes ==Sum of cubes

Poly addition subtraction multiplication(including word problems)

Binomial Theorem/expansion

Working backwards given roots/mins and,maxes Graph polynomial function with zeros.-2,5,9 minimum at (-1,-6) Maximum at (7,8) Write a polynomial function with roots.-3,7,4

Time to sing This is not a spectator Sport

Lets talk domain and range.

Notes Over 2.3 Increasing and Decreasing Functions Describe the increasing and decreasing behavior. The function is decreasing on the interval increasing on the interval decreasing on the interval increasing on the interval

Notes Over 2.3 Increasing and Decreasing Functions Describe the increasing and decreasing behavior. The function is increasing on the interval constant on the interval decreasing on the interval

Notes Over 2.3 Increasing and Decreasing Functions Determining Relative Maximum or Minimum. 10.Use a graphing calculator to find the relative maximum of the function:

Working forwards and backwards First pick 3 numbers between -10 and 10 Put them into (x+or - )(x )(x ) Box the first two Multiply the result by the last one Give the result to your partner with one of the factors Take what you are given do the division Plot the graph Describe the end behavior. Find zeros using calculator. Find where increasing and decreasing

Simplifying A rational expression is simplified or reduced to lowest terms when the numerator and denominator have no common factors other than 1. Examples:

Simplifying Rational Expressions 1.Factor both the numerator and denominator as completely as possible. 2.Divide out any factors common to both the numerator and denominator.

Factoring a Negative 1 Remember that when –1 is factored from a polynomial, the sign of each term in the polynomial changes. Example: – 2x + 5 = – 1(2x – 5) = –(2x – 5)

Working forwards and backwards First pick 3 numbers between -10 and 10 Put them into (x+or - )(x )(x ) Box the first two Multiply the result by the last one Give the result to your partner with one of the factors Take what you are given do the division Plot the graph Describe the end behavior. Find zeros using calculator.