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 ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (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