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1. Explain what synthetic division is and what it is used for. (include at least 2 different uses for synthetic division) Give an example of synthetic division, show all steps. Explain what your answer means.
2. Pick a cubic function. (use something not too simple. a good example: y = 2(x+1)^3 - 5) Starting with y = x^3, use vertical and horizontal translations, as well as, shrinking and stretching to graph your function. (make sure to explain in English what you are doing as well as graphing y = x^3 and your function) Using an algebraic method, find the roots of your function. Describe the symmetry of your function. Explain the concept of symmetry in general. (which functions are symmetric, which are not. how can you tell from the equation?)
3. State and explain (in simple english) what Remainder and Factor Theorems mean.
Give a recursive definition for exponentiation (n raised to the power m), assuming that addition and multiplication have been defined.
Solve the algebra equation
Evaluate the polynomial x^2+ 2y^2- 3xy for x = 3 and y = 4. Solve the problem. Show all steps necessary to arrive at your solution. Find a polynomial for the sum of the areas of these circles.
Finding coefficient
Find the equation of the boundary line.
Apply the vertex and intercepts to sketch the graph.
Calculate the accumulated amount
Apply properties of logarithms to increase logarithmic expression.
Solve the equation
In a right triangle find the length of the side not given b=2, c=sqrt13 the length of the third side is ? Use the foil method to find the product: (8x^3-9)(x^9-3)
Make the fractions of the LCM of the denominators.
Find the domain of each square root. f (x)=square root 8-2x Multiply and simplify assume that all variables in a radicand represent positive real numbers no radicands involve negative quantities raised to even powers. Here is the problem square roo..
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