Major Key: Finding the factor of the polynomial. Do Now #15 Major Key: Finding the factor of the polynomial.

Do now reflection Did you meet the major key for the do now? What do you still have question about polynomial division?

Polynomial Function (cubic Functions)

Polynomial Function in General Form Polynomial Functions write Polynomial Function in General Form Degree Name of Function 1 Linear 2 Quadratic 3 Cubic Teachers: This definition for ‘degree’ has been simplified intentionally to help students understand the concept quickly and easily. The largest exponent within the polynomial determines the degree of the polynomial.

Explore Polynomials write Linear Function Quadratic Function Cubic Function

Leading Coefficient write The leading coefficient is the coefficient of the first term in a polynomial when the terms are written in descending order by degrees. For example, the cubic function f(x) = -2x3 – 5x2 –2x+10 has a leading coefficient of -2.

End Behavior write End Behavior is defined as what a polynomial function does as it approaches positive or negative infinity.

Cubic Polynomials Look at the two graphs and discuss the questions given below in your groups and be ready to share out in 10 minutes. Graph B Graph A 1. How can you check to see if both graphs are functions? 2. How many x-intercepts do graphs A & B have? 3. What is the end behavior for each graph? 4. Which graph do you think has a positive leading coefficient? Why? 5. Which graph do you think has a negative leading coefficient? Why?

Graphing cubic functions Graphing cubic function involve two things. Creating a table to get the sketch of the graph. Finding the x-intercepts (solutions)

Example y=x3+5x2+4x

Simplifying Rational expressions

Cooperative Group work Simply Rational Expression As a group you will simplify rational expression to their simplest form on the table then come up with your result. Graphing Cubic As a group you will come up with at least 10 pairs of numbers for each graph. Also determine the solutions. Major Key Alert: Groups will be able to complete the worksheets with 70% accuracy.

Reflection Group simplifying Rank yourself 1-4 with the concept of simplifying rational expressions and explain why. What will you do to get a better understanding? Group graphing Rank yourself 1-4 with the concept of graphing polynomials and explain why. What will you do to get a better understanding?