SOLUTION: What is the total of roots and real roots of this equation? {{{ x^6 - x^5 + 2x^2 + 3x - 17 }}}? A.) {{{ 6 }}}, (-1,0) (5,0) B.) {{{ 6 }}}, (-1.5,0) (1.5, 0) C.) {{{ 6 }}}, (-1

Algebra ->  Equations -> SOLUTION: What is the total of roots and real roots of this equation? {{{ x^6 - x^5 + 2x^2 + 3x - 17 }}}? A.) {{{ 6 }}}, (-1,0) (5,0) B.) {{{ 6 }}}, (-1.5,0) (1.5, 0) C.) {{{ 6 }}}, (-1      Log On


   

Question 1054409: What is the total of roots and real roots of this equation? +x%5E6+-+x%5E5+%2B+2x%5E2+%2B+3x+-+17+?
A.) +6+, (-1,0) (5,0)
B.) +6+, (-1.5,0) (1.5, 0)
C.) +6+, (-1.5,0) (1.5,0) (-8,0) (8,0)
D.) +6+, (0, -1.5) (0,1.5)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^6-x^5+2x^2+3x-17=0 (it is written as an expression, so I set it equal to 0.)
It has 6 roots, since it has degree 6. The graph below shows 2 real roots.
3 sign changes, 3 or 1 positive real roots
f(-x)=+,+,+--, 1 sign change, 1 possible negative real root.
Graph
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E6-x%5E5%2B2x%5E2%2B3x-17%29, roots at -1.47,1.619