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Solving Polynomial Functions and Inequalities

Variables for the questions :

Solving polynomial functions and inequalities Curriculum expectation:

solve problems involving polynomial equations graphically and algebraically

a) Create and solve a polynomial equation of at least degree 4 where one of the solutions of the equation is one of your numbers A, B, or C.
You must:

i) Demonstrate how you know that your number is a solution of the equation using one of the the remainder theorem, synthetic division, rational zero theorem, factor theorems

ii) include the factoring process as part of your solution

b) Determine where your function is positive and where it is negative.

c) Write down the detailed steps you did to find each answer and to find the polynomial equation

Solving polynomial functions and inequalities Curriculum expectation:

solve problems involving polynomial equations graphically and algebraically

a) Create and solve a polynomial equation of at least degree 4 where one of the solutions of the equation is one of your numbers A, B, or C.
You must:

i) Demonstrate how you know that your number is a solution of the equation using one of the the remainder theorem, synthetic division, rational zero theorem, factor theorems

ii) include the factoring process as part of your solution

b) Determine where your function is positive and where it is negative.

c) Write down the detailed steps you did to find each answer and to find the polynomial equation Rates of Change Curriculum expectation:

1. demonstrate an understanding of average and instantaneous rate of change, and determine, numerically and graphically, and interpret the average rate of change of a function over a given interval and the instantaneous rate of change of a function at a given point

a) Determine the average rate of change of the function over the interval

b) Determine the instantaneous rate of change of the function. Include a graph and show the tangent line

c)Write down the detailed steps you did to find each answer