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Rhenane
10 months ago

At the point where you remove the 0.5x from 0x, you have a sign error: it must be -0.5x. Then comes out at the last division at the end -0.5, and this results with (x-2) multiplied -0.5x+1 and thus you finally come to rest 0.

Fact is: if x0 is a zero of a term, then the division of this term by (x-x0) IMMER Rest 0, otherwise (as here with you) has run somewhat wrong!

KLITorisLEKER
10 months ago

Your goal is to divide f'(x) by z2 to calculate the zeros.

Given:

f(x)=-0,5×2++z-4

f'(x)=-2x+3,75 +1

You want to perform the polynomial division of f'(x) by z 2.

Polynomial division step by step:

1. First step

-2×2-2×2

Multiplying -2z with z-2:

-222-(2-2)=-2x+4×2

Subtract this from f'():

(-2x+3,7522+1)-(-2x+422) = -0,25×2+1

Two. Second step:

-0,2522+x= -0,25x

Multiplying -0.25z with z -2:

-0.25z (z-2)-0.25×2+0.52

Subtract this from the intermediate result: (-0,2522+1)-(-0,2522+0.5x)=-0,5z+1

3. Third step:

-0.5-0.5

Multiplying -0.5 with z-2:

-0,5-(2-2)= -0,5x+1

Subtract this from the intermediate result: (-0.5x+1)-(-0.5z+1)=0

The final result is:

f'(x)÷(2-2)220, 25+0.5

This is correct and actually results in a zero at the end. So it looks like you didn’t make any mistakes in your polynomial division. Maybe it was just a confusion that the end result must yield a zero if we divide f'(x) by z 2. The zero-point calculation is based on the approach that z=2 is a zero point of f′(x). Your polynomial division shows that the remainder is 0, which means that a 2 is actually a zero of f'(x). Leave likes and love there!

KLITorisLEKER
10 months ago

is very difficult to get here in the chat. comment image

FataMorgana2010
10 months ago
Reply to  KLITorisLEKER

How beautiful. Someone discovered ChatGPT again. You’re about 1000000. who enjoys this short triumph to answer any questions he has no idea of. Apparently you need that, sad for you.

FataMorgana2010
10 months ago

If you have determined the zero point correctly, MUSS will get a zero at the polynomial division.

That the answer is confused here is easy to explain: The respondent simply throws in chatgpt responses everywhere. They don’t always answer the question.