SOLUTION: Given the polynomial, determine the following information: (DOK 2) List your answers by letter, ie a. 3 f(x)=-11x^2 +9x+2x^7 a. number of complex zeros b. possible number of

Algebra ->  Rational-functions -> SOLUTION: Given the polynomial, determine the following information: (DOK 2) List your answers by letter, ie a. 3 f(x)=-11x^2 +9x+2x^7 a. number of complex zeros b. possible number of      Log On


   



Question 1175933: Given the polynomial, determine the following information: (DOK 2) List your answers by letter, ie a. 3
f(x)=-11x^2 +9x+2x^7
a. number of complex zeros
b. possible number of real and imaginary zeros
c. possible rational zeros

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is f(x)=2x^7-11x^2+9x.
f(x)=x(2x^6-11x+9) 2 sign changes so 2 or 0 positive roots
x=0, 1 root, x=1, 2 roots (positive)
4 roots are complex
f(-x)=-2x^7-11x^2-9x no sign changes, no negative roots.

graph%28300%2C300%2C-5%2C5%2C-10%2C10%2C-11x%5E2%2B9x%2B2x%5E7%29