Algebra 2 Unit 6 Practice Test
Graph and answer the questions
[1] f(x) = (x-1)2(x+1)(x+2)
Name _____________________________
Date _______________ Period ______
[2] Sketch a graph that would meet the
following criteria
- even degree
- negative leading coefficient
- two roots with odd multiplicity
- one root with even multiplicity
[3] Create a polynomial with the only real
roots at 5, 3 and -1.
[1a]
x intercept(s)
[1b]
y-intercept
[1c]
End behavior
as x  ∞ , f(x)  _________
as x - ∞ , f(x)  _________
[1d]
Domain ____________ Range ____________
[4] Simplify the following
[4a] (3x2 + 2x – 1) – (x3 + 2x2 – x +5)
[4b] (x-3)(x3 – 2x + 1)
[4c] (x2 + 4x -5) ÷ (x+1)
[3a] Factored Form ________________________
[3b] Standard Form
__________________________________________
[3c] Graph
[5] Given the functions y= ax4 + bx + c
[5a] how many solutions does it have?
[5b] Using both real and complex (imaginary) solutions…describe two possible
combinations of how many of each there could be.
[5c] If you were told that the value of ‘a’ was positive then describe the end behavior.
as x  ∞ , f(x)  _________
as x - ∞ , f(x)  _________
[6] Construct a polynomial with solutions of
5 and 2+2i
[7] Factor the following
[7a] x4 - 16
[7b] x3 – 27
[7c] 27x3 + 64
[8] Use the graphs of f(x) and g(x) to sketch the graph of the following
f(x) + g(x)
g(x) – f(x)