SOLUTION: rule of signs to state the numbier of possible positive and negative real zeros of each polynomial function P(x)=10x6 -9x5 -14x4 -8x3-18x2+x+6 I used my calculator to find th

Algebra.Com
Question 156870This question is from textbook college algebra
: rule of signs to state the numbier of possible positive and negative real zeros of each polynomial function
P(x)=10x6 -9x5 -14x4 -8x3-18x2+x+6
I used my calculator to find the possible zeros and I understand there are 6 possible zeros
so far x=-1,-.6, .5, 2
This question is from textbook college algebra

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Possible Zeros:


Any rational zero can be found through this equation

where p and q are the factors of the last and first coefficients


So let's list the factors of 6 (the last coefficient):



Now let's list the factors of 10 (the first coefficient):



Now let's divide each factor of the last coefficient by each factor of the first coefficient









Now simplify

These are all the distinct rational zeros of the function that could occur



RELATED QUESTIONS

Use Descartes' Rule of Signs to state the number of possible positive and negative real... (answered by Boreal)
Use Descartes' Rule of Signs to state the number of possible positive and negative real... (answered by stanbon)
use descartes rule of signs to determine the possible number of positive real zeros and... (answered by Edwin McCravy)
using descartes rule of signs how positive,negative, and real zeros the polynomial... (answered by Boreal)
Use Descartes' Rule of Signs to determine the possible number of positive and negative... (answered by stanbon,jim_thompson5910)
use descartes rule of signs to determine the possible number of positive and negative... (answered by Fombitz)
Use Descartes's Rule of Signs to determine the possible number of positive and negative... (answered by mathmate)
Use Descartes' Rule of Signs to determine the possible number of positive and negative... (answered by robertb)
Use Descartes's Rule of Signs to determine the possible number of positive and negative... (answered by MathLover1)