SOLUTION: For the function g(x)=x^4-2x^2-4 Find all real zeros of the polynomial function and determine the multiplicity of each zero; determine the maximum possible number of turnin

Algebra ->  Functions -> SOLUTION: For the function g(x)=x^4-2x^2-4 Find all real zeros of the polynomial function and determine the multiplicity of each zero; determine the maximum possible number of turnin      Log On


   

Question 1027065: For the function g(x)=x^4-2x^2-4
Find all real zeros of the polynomial function and determine the multiplicity of each zero; determine the maximum possible number of turning points of the graph of the function.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let p=x%5E2.

p%5E2-2p-4=0
p=%282%2B-+sqrt%284-4%2A%28-4%29%29%29%2F2
p=%282%2B-+sqrt%2820%29%29%2F2
p=%282%2B-+2%2Asqrt%285%29%29%2F2
p=1%2B-+sqrt%285%29

x%5E2=1%2B-+sqrt%285%29

highlight%28x=0%2B-+%281%2B-+sqrt%285%29%29%29


--
You should examine that number or expression further.
There are two "plus or minus"es. They are these:
system%28-1-sqrt%285%29%2C-1%2Bsqrt%285%29%2C1-sqrt%285%29%2C1%2Bsqrt%285%29%29 which are four separate numbers. Each has multiplicity of 1.