Works on : TI-83+, TI-83+ SE, TI-84+, TI-84+ SE, TI-84+ emulator on the TI-Nspire.
At the bequest of an old friend of mine, I fished out my really old Synthetic Division program. I was intending to fix it up and ship it off, but when I saw the code, I realized how much of a mess it was. So I started over. This program started off as a Polynomial Division Utility, but it evolved into a suite for doing all four standard operations with polynomials. The algorithms are brand new, and optimized with help from an old high school friend.
This program can theoretically handle polynomials of infinite size, but, of course, bounded by your memory. See the speed test information at the bottom. It can also handle fractional coefficients. The input occurs in
descending exponent order, where the calculator will first prompt you for the number of terms in the polynomial, so for x^3+x-1, you say '4' (without the single quotes
). You will then be prompted for the coefficients. You would input 1 for exponent 3, 0 for exponent 2, 1 for exponent 1, and -1 for exponent 0. Repeat this procedure for the second operand. Alternatively,
for either operand, you may enter a value of
'-1', '-2', or '-3' (without the single quotes
). '-1' loads the last Operand 1 you used, '-2' loads the last Operand 2, and '-3' loads the last result. You may supply either of these three arguments at either operand prompt without issue.
Speed TestDISCLAIMER: This speed test was conducted on my own hardware, a TI-84+ SE, running OS 2.43. While you may experience results close to this, no two pieces of hardware are exactly alike.
for Multiplication
a 19-term times a 19-term: done in 3.35 seconds.
a 37-term times a 37-term: done in 7.52 seconds.
a 73-term times a 73-term: done in 16.94 seconds.
for Division:
a 73-term divided by a 37-term: done in 7.39 seconds.
a 37-term divided by a 19 term: done in 3.21 seconds.
a 19-term divided by a 9-term: done in 1.88 seconds.
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