Using complete sentences, describe how you would analyze the zeros of the polynomial function f(x) = -3x5 - 8x4 +25x3 - 8x2 +x - 19 using Descartes' Rule of Signs.

Be sure to provide the answer in your explanation.

Question

Using complete sentences, describe how you would analyze the zeros of the polynomial function f(x) = -3x5 - 8x4 +25x3 - 8x2 +x - 19 using Descartes' Rule of Signs. 

Be sure to provide the answer in your explanation.

anonymous · Answer

Change in no signs of coefficients is max no of positive roots
--+-+-
4
no of continuation of signs are max no of positive roots
1

dumbcow · Answer

0,2, or 4 Positive zeros
1 Negative zero
0,2, or 4 Complex zeros

anonymous · Answer

$$\huge {f(x) = -3x^{5} - 8x^{4} +25x^{3} - 8x^{2} +x - 19}$$

Look to the sign f(x)= - -  , -+ ,+- , -+ , +-
we are don't care for ++ or -- we are just looking for +- or -+ which means that number of roots .
so here we are 
either we have zero negative ( --)  root! or we have 4 roots because we have (-+ , +- , -+ , +- ) which is originally in f(x) function


its like what they said above but in details .. Thnx for your Q.

anonymous · Answer

sorry .. i dont mean i dont care for ++ , or -- .. they just represent zero postive and zero negative .