SOLUTION: I need help on this problem.
State the possible number of positive real zeros, negative real zeros, and imaginary zero of this function.
7. r(x)= x^5-x^3-x+1
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Question 186722This question is from textbook algebra2
: I need help on this problem.
State the possible number of positive real zeros, negative real zeros, and imaginary zero of this function.
7. r(x)= x^5-x^3-x+1
This question is from textbook algebra2
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
The equation has an order of 5. So the total number will be 5
Using the rational root theorem (http://en.wikipedia.org/wiki/Rational_root_theorem) you can deduce that there is, at most, one positive root and one negative one (1 and -1)
Try dividing the given equation by (x-1), does it go evenly? If so, then there is one positive root. If not, then try the negative one.
The other 4 zeros must be imaginary.
Use this tool to factor http://72.3.253.76:8080/webMathematica3/quickmath/page.jsp?s1=algebra&s2=factor&s3=basic
Use this one for polynomial division testing
http://www.calc101.com/webMathematica/long-divide.jsp#topdoit
Try it with the given equation and (x-1) or (x+1)
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