Answer :
Final Answer:
The roots of the given functions are x=1, 7, (1+i root 7)/4, and (1-i root 7)/4.
Explanation:
The solution to this question involves identifying all the values of x that make the function f(x) equal to zero. These zeros represent the solution. The function from the question is a polynomial function and it's written like this:
f(x) = 2x⁴ - 17x³ + 23x² - 15x + 7
Finding the zeros means we have to solve the polynomial equation:
2x⁴ - 17x³ + 23x² - 15x + 7 = 0
This is a quartic equation because the highest degree of the variable x is 4.
For quartic equations, specifically those that contain x⁴, x³, x², x, and a constant, the process of finding the zeros is complex and there doesn't exist a standard formula or a simple way to find its roots like there is for quadratic equations.
So, the roots are x=1, 7, (1+i root 7)/4 and (1-i root 7)/4.
Therefore, the roots of the given functions are x=1, 7, (1+i root 7)/4, and (1-i root 7)/4.
To learn more about the polynomial function visit:
https://brainly.com/question/12976257.
#SPJ11
