SOLUTION: Use Descarte's rule of signs to determine the number of possible positive, negative, and nonreal complex solutions of the equation. Please help me. • 4x^3-6x^2+x-3=0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use Descarte's rule of signs to determine the number of possible positive, negative, and nonreal complex solutions of the equation. Please help me. • 4x^3-6x^2+x-3=0      Log On


   



Question 441645: Use Descarte's rule of signs to determine the number of possible positive, negative, and nonreal complex solutions of the equation. Please help me.
• 4x^3-6x^2+x-3=0

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 variations in signs ==> there could be 3 positive real roots, or just 1 positive real root.

Now when x is replaced by -x, the equation becomes -4x%5E3+-+6x%5E2+-+x+-+3+=+0, no variation in signs, hence there are no negative real roots.
Hence, either there 3 positive real roots,
OR
1 positive real root and 2 distinct complex roots.