MEDAL+FAN CAN SOMEONE PLEASE HELP ME
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
a good example and explanation of descartes rule of sign is found here http://www.purplemath.com/modules/drofsign.htm
You need to count the "changes in sign of" \[f(x) =3x^5+8x^4+25x^3+8x^2+x+19\]
meaning the changes in sign of the coefficients the coefficients are 3,8,25,8,1,19 and there are 4 changes in sign from 8 to 25, from 25 to 8, from 8 to 1 and from 1 to 19
this tells you that there are at most 4 positive real zeros, and you count down by 2s, meaning that there are either 4, 2 or 0 positive real zeros for this polynomial
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The Explanation Really Help .
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