DuckieDai Synthetic Zero Tester Python Program

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algebra · MIT License

Overview

Test one proposed zero of a cubic polynomial and display its synthetic-division quotient and bottom row.

Owner-tested on a TI calculator
Version 1.0.0
1916 bytes
No imports

Download zeroTS.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
Inputs are valid numeric values for a cubic polynomial.
This program tests one supplied zero; it does not generate rational-root candidates.
It compares the calculated remainder with exact floating-point zero.

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Exact reviewed bytes

Source code

Download .py

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"""DuckieDai Synthetic Zero Tester for TI-84 Plus CE Python."""


def duckiedai_intro(program_name, wait=True):
    title = program_name[:16]
    empty = 16 - len(title)
    left = empty // 2
    right = empty - left

    print("+----------------------+")
    print("|   " + " " * left + title + " " * right + "   |")
    print("|                      |")
    print("|       __             |")
    print("|   ___(o )>  quack!   |")
    print("|   \\ <_. )           |")
    print("|    `---'             |")
    print("|     by DuckieDai     |")
    print("| hiddenwordscanner.com|")
    print("+----------------------+")
    print("Loading...")

    if wait:
        input("Press enter to start ")
        print("\n" * 8)


def clear_screen():
    print("\n" * 8)


def run_test():
    clear_screen()
    print("Enter coefficients")
    print("ax^3+bx^2+cx+d")
    print("")
    a = float(input("x^3: "))
    b = float(input("x^2: "))
    c = float(input("x: "))
    d = float(input("Const: "))
    zero = float(input("Test zero: "))
    first = a
    second = b + first * zero
    third = c + second * zero
    remainder = d + third * zero

    clear_screen()
    print("ZERO TEST")
    print("---------")
    print("Test:", zero)
    print("R:", remainder)
    print("")
    if remainder == 0:
        print("TRUE!")
        print("IT IS A ZERO")
    else:
        print("FALSE")
        print("NOT A ZERO")
    input("\nPress enter ")

    clear_screen()
    print("QUOTIENT")
    print("--------")
    print(first, "x^2")
    print(second, "x")
    print(third)
    input("\nPress enter ")

    clear_screen()
    print("BOTTOM ROW")
    print("----------")
    print(first, second)
    print(third, remainder)


duckiedai_intro("Zero Tester")

while True:
    run_test()
    print("")
    again = input("Again? y/n: ")
    if again.lower() != "y":
        break


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

"""DuckieDai Synthetic Zero Tester for TI-84 Plus CE Python."""
def duckiedai_intro(program_name, wait=True):
title = program_name[:16]
empty = 16 - len(title)
left = empty // 2
right = empty - left
print("+----------------------+")
print("| " + " " * left + title + " " * right + " |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("| hiddenwordscanner.com|")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n" * 8)
def clear_screen():
print("\n" * 8)
def run_test():
clear_screen()
print("Enter coefficients")
print("ax^3+bx^2+cx+d")
print("")
a = float(input("x^3: "))
b = float(input("x^2: "))
c = float(input("x: "))
d = float(input("Const: "))
zero = float(input("Test zero: "))
first = a
second = b + first * zero
third = c + second * zero
remainder = d + third * zero
clear_screen()
print("ZERO TEST")
print("---------")
print("Test:", zero)
print("R:", remainder)
print("")
if remainder == 0:
print("TRUE!")
print("IT IS A ZERO")
else:
print("FALSE")
print("NOT A ZERO")
input("\nPress enter ")
clear_screen()
print("QUOTIENT")
print("--------")
print(first, "x^2")
print(second, "x")
print(third)
input("\nPress enter ")
clear_screen()
print("BOTTOM ROW")
print("----------")
print(first, second)
print(third, remainder)
duckiedai_intro("Zero Tester")
while True:
run_test()
print("")
again = input("Again? y/n: ")
if again.lower() != "y":
break
clear_screen()
print("DuckieDai says: done!")

Filename: zeroTS.py
Size: 1916 bytes
SHA-256: 52e0e9120a72c8527ba6ea4ee3ba41600464cd9ce292079faf3d7d76ec0710ee

Usage

Inputs

Numeric coefficients a, b, c, and d for ax^3 + bx^2 + cx + d
One numeric zero to test

Outputs

True or false zero result
Quadratic quotient coefficients
Synthetic-division bottom row

Units: Polynomial coefficients; no physical units.

Assumptions and limitations

Assumptions

Inputs are valid numeric values for a cubic polynomial.

Constraints

This program tests one supplied zero; it does not generate rational-root candidates.
It compares the calculated remainder with exact floating-point zero.

Known failures

A mathematically zero decimal result can be reported false when floating-point residue is not exactly zero.
Invalid 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: ZEROTS — 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. ZEROTS 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

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