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Visualizing complex zeros of a cubic polynomial – Texas Instruments TITANIUM TI-89 User Manual

Page 766

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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.