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

Question 1054409: What is the total of roots and real roots of this equation? ?
A.) , (-1,0) (5,0)
B.) , (-1.5,0) (1.5, 0)
C.) , (-1.5,0) (1.5,0) (-8,0) (8,0)
D.) , (0, -1.5) (0,1.5)
Answer by Boreal(15235) (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
, roots at -1.47,1.619
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