Visualizing complex zeros of a cubic polynomial – Texas Instruments TITANIUM TI-89 User Manual
Page 766
Activities
766
Optional Exercise
Optional Exercise
Optional Exercise
Optional Exercise
Assuming the same initial velocity of 95 feet per second, find the angle that the ball
should be hit to achieve the greatest distance.
Visualizing Complex Zeros of a Cubic Polynomial
Visualizing Complex Zeros of a Cubic Polynomial
Visualizing Complex Zeros of a Cubic Polynomial
Visualizing Complex Zeros of a Cubic Polynomial
This activity describes graphing the complex zeros of a cubic polynomial.
Visualizing Complex Roots
Visualizing Complex Roots
Visualizing Complex Roots
Visualizing Complex Roots
Perform the following steps to expand the cubic polynomial
(x
N
1)(x
N
i)(x+i)
, find the
absolute value of the function, graph the modulus surface, and use the
Trace
tool to
explore the modulus surface.
1. On the Home screen, use the
expand( )
function to expand the cubic expression
(x
N
1)(x
N
i)(x+i)
and see the first
polynomial.
2. Copy and paste the last answer to the
entry line and store it in the function
f(x)
.
Note:
Move the cursor into the history
area to highlight the last answer and
press
¸, to copy it to the entry line.