DuckieDai Cubic Expander Python Program

Using the full toolkit? Read the step-by-step Polynomial Toolkit guide for quartic, cubic, and quadratic workflows, worked examples, and a reminder to keep every root you find.

algebra · MIT License

Overview

Expand a monic cubic from its three zeros: enter r1, r2, and r3 and read the coefficients of x^3 + ax^2 + bx + c.

Owner-tested on a TI calculator
Version 1.0.0
701 bytes
No imports

Download cubexp.py Read the source How to install

Before you run it

TI-84 Plus CE Python · No calculator OS or Python App version has been verified.
TI Connect CE .py transfer to the Python App; the owner's transfer details were not recorded
The leading coefficient is 1; multiply every coefficient by a afterwards for a different leading coefficient.
Zeros are real decimals; a complex zero cannot be entered.
Coefficients print as decimals, so a zero coefficient can show as -0.0.

Try the DuckieDai calculator screen

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Exact reviewed bytes

Source code

Download .py

View source below, copy it when JavaScript is available, or download the exact .py bytes.

def intro():
    print("+----------------------+")
    print("|     Cubic Expand     |")
    print("|                      |")
    print("|       __             |")
    print("|   ___(o )>  quack!   |")
    print("|   \\ <_. )           |")
    print("|    `---'             |")
    print("|     by DuckieDai     |")
    print("| hiddenwordscanner.com|")
    print("+----------------------+")
    input("Press enter ")
    print("\n"*6)


intro()

r1=float(input("r1: "))
r2=float(input("r2: "))
r3=float(input("r3: "))

a=-(r1+r2+r3)
b=r1*r2+r1*r3+r2*r3
c=-(r1*r2*r3)

print()
print("Standard form:")
print("x^3")
print(a,"x^2")
print(b,"x")
print(c)

print()
print("DuckieDai says:")
print("done!")

def intro():
print("+----------------------+")
print("| Cubic Expand |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("| hiddenwordscanner.com|")
print("+----------------------+")
input("Press enter ")
print("\n"*6)
intro()
r1=float(input("r1: "))
r2=float(input("r2: "))
r3=float(input("r3: "))
a=-(r1+r2+r3)
b=r1*r2+r1*r3+r2*r3
c=-(r1*r2*r3)
print()
print("Standard form:")
print("x^3")
print(a,"x^2")
print(b,"x")
print(c)
print()
print("DuckieDai says:")
print("done!")

Filename: cubexp.py
Size: 701 bytes
SHA-256: c84dc00076d34ede72f31795acbffd439934b3c1dc147dac4c523a81e8d0e2d2

Usage

Inputs

Three real zeros r1, r2, and r3 as decimals

Outputs

The x^2 coefficient, the x coefficient, and the constant of the expanded cubic

Units: Polynomial zeros and coefficients; no physical units.

Assumptions and limitations

Assumptions

The leading coefficient is 1; multiply every coefficient by a afterwards for a different leading coefficient.

Constraints

Zeros are real decimals; a complex zero cannot be entered.
Coefficients print as decimals, so a zero coefficient can show as -0.0.

Known failures

Fractions typed with a slash are not accepted; enter a decimal.
Non-numeric input uses the calculator Python input error path.

Compatibility and review

Review status: Owner-tested on a TI calculator
Tested on: Owner reports personally testing this program on a TI-84 Plus CE Python calculator; the test date, OS version, and Python App version were not recorded
What happened: Owner reported pass on the calculator. The published file is the owner's tested source.
Dependencies: No imports
Suggested calculator name: CUBEXP — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

Transfer and launch

Confirm that your calculator is the Python-capable model named above. This release has no verified calculator OS or Python App version; treat transfer and execution as unverified until independently tested.
Download the .py source above and verify its SHA-256 digest if your computer provides that option.
Use TI Connect CE to send the Python file to a compatible calculator. CUBEXP is a suggested name; you may choose another valid, unique calculator name.
Open the Python App, select the program, and check sample inputs before relying on other results.

Read the complete installation, launch, troubleshooting, and removal guide.

Availability does not mean a teacher, school, or exam permits this program. Follow the applicable rules.

Version history

1.0.0 — current version, published 2026-10-03. Download this reviewed version

Any source change requires a new immutable version and digest. Historical downloads remain available only while their review records remain valid.

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