Question

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Answer 1

it is not easy to find the roots of a 5th degree polynomial, there is no formula for it. but you can make some guesses, because if it has a rational root they must be divisors of 12

Answer 2

there are 4 real and positive roots

Answer 3

1,2,3,4,6 and 12.?

Answer 4

just do..hit and trail method...

Answer 5

in fact \(-1\) is a root, and \(2\) is a root with multiplicity 2

Answer 6

yes, those, and their negatives, so also \(-1,-2,-3,-4,-6,-12\) are possible

Answer 7

1 does not work, the next good guess is to try -1, which does work
i would use a graphing calculator, or better yet wolfram
http://www.wolframalpha.com/input/?i=x%5E5+-+3x%5E4+%2B+3x%5E3+-+5x%5E2+%2B+12+%3D+0++

Answer 8

ok so far i have :

-1,2,2

Answer 9

there are 4 real positive and 4 real negative roots

Answer 10

what are they?

Answer 11

in numerical terms ?

Answer 12

just do..hit and trail method...

Answer 13

Subs some valkues...for x and see whether u r getting 0