SOLUTION: How many zeros in the polynomial 6x^6-x^5+7x^4+x^3-9x^2+9x-6 And the maxima and minima. I have no clue how to do this please help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How many zeros in the polynomial 6x^6-x^5+7x^4+x^3-9x^2+9x-6 And the maxima and minima. I have no clue how to do this please help.      Log On


   

Question 865758: How many zeros in the polynomial 6x^6-x^5+7x^4+x^3-9x^2+9x-6
And the maxima and minima. I have no clue how to do this please help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graph it first to get some idea.

No maxima but to find the minima, find the derivative and set it equal to zero.
36x%5E5-5x%5E4%2B28x%5E3%2B3x%5E2-18x%2B9=0
graph%28300%2C300%2C-2%2C2%2C-2%2C2%2C36x%5E5-5x%5E4%2B28x%5E3%2B3x%5E2-18x%2B9%0D%0A%29
The value of x when the derivative is zero (minima occurs) is x=-0.774