Question

What are the possible number of positive, negative, and complex zeros of f(x) = x^6 – x^5– x^4 + 4x^3 – 12x^2 + 12 ?

Answer 1

Answer

Positive: 2 or 0; Negative: 2 or 0; Complex: 6, 4, or 2

Positive: 3 or 1; Negative: 3 or 1; Complex: 4, 2, or 0

Positive: 3 or 1; Negative: 2 or 0; Complex: 4, 2, or 0

Positive: 4, 2, or 0; Negative: 2 or 0; Complex: 6, 4, 2, or 0

Answer 2

Are you at all interested in how to solve this problem? or do you just want the answer?

Answer 3

I just want the answer now because im taking an online timed test and im running out of time.

Answer 4

so basically you want to inflate your results, even though you don't actually know the material?

Answer 5

wow okay dont even look at this if youre going to give me an attitude.

Answer 6

try synthetic division

Answer 7

i mean if you really want to give an effort

Answer 8

TRy plugging in various numbers like\[0,\pm1,\pm2,\pm3\]until you find a zero, then use synthetic division with the root. Repeat until answered.

If you are giving us the "give me the answer or bug off" attitude than I suppose it is up to those who are interested in giving away answers to help you.

Answer 9

I know how to do it, i just didnt have the time. And i will have that attitude if i need to. This is absolutely ridiculous and half of you can cry me a freekin river.

Answer 10

But thank you to those who have been helpful

Answer 11

I think it requires Descartes' Rule of Signs

Answer 12

The best way to take a timed test is to review the material BEFORE starting the test.

Answer 13

If you only wants answers, wolfaram does help:
http://www.wolframalpha.com/input/?i=x%5E6%E2%80%93x%5E5%E2%80%93x%5E4%2B4x%5E3%E2%80%9312x%5E2%2B12

Answer 14

want*