Mathematics
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OpenStudy (anonymous):
find all zeros for each function. x^4-4x^3-16x^2+21z+18 Please help!!
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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
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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
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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
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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
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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
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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 ?
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OpenStudy (anonymous):
yeah sort of
OpenStudy (anonymous):
i think i got what you are saying
OpenStudy (anonymous):
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