Out of the three bots, only Bot GPT 3.5 made a mistake in its synthetic division. It incorrectly arrived at a quotient of 1 - 2x - 8 instead of the correct quotient, which is x^2 - 2x - 8.
On the other hand, Bot solved it correctly by factoring the expression x^3 - 5x^2 - 2x + 24 as (x-3)(x^2 - 2x - 8). It correctly identified x-3 as one of the linear factors. However, it seems that Bot made an error in choosing the correct zero from the given choices.
Step-by-Step Bot, unfortunately, made an error in its synthetic division and was unable to arrive at the correct quotient. Therefore, it couldn't find the correct zero.
In conclusion, Bot GPT 3.5 and Step-by-Step Bot did not provide the correct answer or methodology for finding the zero, while Bot solved it correctly but failed to choose the correct answer from the given choices.
All three of the Bots got different answers to this:
Which of the following is a zero of x^3−5x^2−2x+24 , given that x−3 is one of the linear factors?(1 point)
So, who got it right (if any)?
x^3−5x^2−2x+24 = (x-3)(x^2 - 2x - 8) = (x-3)(x-4)(x+2)
So -2 is also a root.
Bot GPT 3.5 botched its synthetic division, arriving at a quotient of 1 - 2x - 8, instead of x^2-2x-8. Then it also was wrong on solving that quadratic.
Explain Bot solved it correctly, but then stupidly could not find the correct answer among the choices given!
Step-by-Step Bot could not even do its division correctly.
1 answer
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