SOLUTION: Determine the number of zeros of the polynomial function. f(x)=x^6-x^7

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine the number of zeros of the polynomial function. f(x)=x^6-x^7      Log On


   

Question 1117895: Determine the number of zeros of the polynomial function.
f(x)=x^6-x^7
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
f(x) = x%5E6+-+x%5E7 = x%5E6%2A%281-x%29.


x= 1 is the root of the multiplicity of 1 and x= 0 is the root of the multiplicity of 6.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Exponent 7 --> 7 zeroes.