Answer:
Descarte's rule says that the polynomial will have the number of zeroes equal to the number of times the sign off the coefficient changes.
For positive real roots:
[tex]P(x)=9x^3-4x^2+10[/tex]
The coefficient of polynomial is:
+9 -4 +10
There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.
So,there will be 2 positive real roots or less but even.
For negative real roots find P(-x)
[tex]P(-x)=-(9x^3-4x^2+10)[/tex]
[tex]P(-x)=-9x^3+4x^2-10[/tex]
So, coefficient of above polynomial is:
-9 +4 -10
There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.
So,there will be 2 negative real roots or less but even.
