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Mathematics 19 Online
OpenStudy (anonymous):

find all zeros for each function. x^4-4x^3-16x^2+21z+18 Please help!!

OpenStudy (anonymous):

@hartnn please help!!!

OpenStudy (anonymous):

so stuck

hartnn (hartnn):

u have options/choices ?

OpenStudy (anonymous):

no i dont

hartnn (hartnn):

ok, then lets use rational root theorem

hartnn (hartnn):

which says that the possible roots can be factors of +-18/1

hartnn (hartnn):

can u factor 18 ?

OpenStudy (anonymous):

yeah so 1,18 6,2

hartnn (hartnn):

and 3 ?

OpenStudy (anonymous):

3,9

OpenStudy (anonymous):

opps not 9

hartnn (hartnn):

ok, its easy to find that 1 is not the root,lets try 6

OpenStudy (anonymous):

k

hartnn (hartnn):

put x=6 in that, does that expression become 0 ??

OpenStudy (anonymous):

hold on

hartnn (hartnn):

k, take your time...

OpenStudy (anonymous):

into the originak equation

OpenStudy (anonymous):

original

hartnn (hartnn):

yes. put x=6 in x^4-4x^3-16x^2+21z+18

OpenStudy (anonymous):

480

hartnn (hartnn):

i am getting 0....

OpenStudy (anonymous):

really let me try again

hartnn (hartnn):

that z is actually x , right ?

OpenStudy (anonymous):

yeah!

OpenStudy (anonymous):

so it 6

hartnn (hartnn):

6 is one of the ZERO of that function. there will be total 4 zeros.

OpenStudy (anonymous):

ok....

hartnn (hartnn):

so, divide that function by x-6 u get a cubic equation....

OpenStudy (anonymous):

what does that look like..

hartnn (hartnn):

know about synthetic division ? or long division ?

OpenStudy (anonymous):

yeah sort of

OpenStudy (anonymous):

i think i got what you are saying

OpenStudy (anonymous):

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