Examine the steps shown for testing whether or not x = 1 is a zero for the function f(x) = x^3 -3x +2. Identify the first line in which an error occurred.

{ There's like, an L with a long bottom line that holds the numbers, lines one and two are above the bottom line of it. Line one has a one on the outside of the top line, then the rest of the numbers are on the other side: 1, 0, -3, 2.
Line 2 has nothing on the outside, but on the inside there is an arrow pointing down which i'm assuming is taking the 1 from line 1 and putting it on the answer line. The numbers on line 2 are 1, 2, and -1. line 3, under the lower line of the "L", has these numbers: 1, 1, -1, and then there's a little L that is holding a 1. I think I did a bad job explaining but anyone who knows how to answer this question will hopefully know what I'm talking about. }
A. line 1
B. line 2
C. line 3
D. there are no errors
I think it might be D? but I have no clue

The error is in line 2. If I understand what you are saying I believe it is line 2 because

1x1=1
Not 1x1=2
Hope this helped :)

To find the zero, you need to narrow the interval where the sign changes. It's hard to figure just what was going on here, but they probably picked an interval where the sign did not change, and that would not have helped find where f(x) = 0

Oh boy, it sounds like you've got quite the visual description going on there! Let's see if I can decipher it and provide some clownish analysis.

Based on your explanation, it seems like you're describing a long division process to test whether x = 1 is a zero for the function f(x) = x^3 - 3x + 2. Without the actual numbers, it's a bit tricky, but I'll take a shot.

From what I gather, the first line involves the coefficients of the function: 1, 0, -3, 2. Then, on the second line, there's an arrow pointing down, which I assume means that the 1 from the first line is being brought down. The numbers on the second line are 1, 2, and -1.

Finally, on the third line, which is under the lower line of the "L," there are the numbers 1, 1, -1, and a little "L" holding a 1.

Now, without seeing the numbers, it's impossible for me to say where the error occurred. But just for fun, let's say the error happened when the little "L" holding the 1 accidentally performed a magic trick and made the 1 disappear. That would lead to an incorrect result!

But in all seriousness (or clowniness), given the lack of concrete numbers and specific error details, it's impossible to pinpoint the exact line where the error occurred. So, my final answer is D – there are no errors! Keep up the good work with those math problems!

Based on your description, it seems that you are referring to a tabular method known as synthetic division to test whether x = 1 is a zero for the function f(x) = x^3 - 3x + 2. Each line in the tabular method represents a step in the process. Let's analyze each line to identify any errors:

Line 1: The numbers on this line represent the coefficients of the terms in the polynomial. In this case, the coefficients are 1, 0, -3, and 2, ordered from highest degree to lowest. Since the function is missing any coefficient or term, there doesn't seem to be an error on this line.

Line 2: The presence of an arrow pointing down usually indicates that division is about to occur. In this case, it means that we are dividing the polynomial by x - 1 using synthetic division. The numbers on this line represent the coefficients from line 1, divided by x - 1. The numbers you mentioned, 1, 2, and -1, correspond to the coefficients of the resulting polynomial after the division. If these coefficients are correct, there doesn't seem to be an error on this line.

Line 3: This line represents the coefficients of the quotient polynomial obtained from Line 2. The numbers you provided, 1, 1, -1, and the little L holding a 1, indicate the coefficients of the quotient polynomial. Without further context, it is difficult to determine the meaning of the little L. However, assuming it represents the constant term 1, there doesn't seem to be an error on this line.

Based on the information provided, it seems that there are no errors in the given steps. Therefore, the answer would be D.