Question 919759: state the possible numbers of positive real zeros, negative real zeros, amd imaginary zeros of f(x)=3x^5-x^4-x^3+6x^2-12
I worked out some stuff. I know ther are 5 total zeros, and i wanna make sure I am right, i said there are 3 or 1 positive real, 2 or 1 negative real and 0 and 3 imaginary. I would like to know if its correct or not
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! You can use Rational Roots Theorem and Descarte's Rule of Signs. Possible five roots. Use synthetic division to check possible roots -1,-2,-4,-3,-6,-12, and 1,2,3,4,6,12. Each root you find makes the next roots to be found as simpler to do.
A quick check of the graph using Google shows only one real root near x=1.2
|
|
|