What is the sum of the roots of the polynomial shown below f(x)=x^3-8x^2-23x+30

The sum of roots of the polynomial is 8.

Explanation:

The given polynomial is,

Use hit and trial method to find the one root. Since is the possible rational root for each polynomial.

Sicen at x=1 the value of f(x) is 0 therefore 1 is a root of the polynomial and (x-1) is a factor of the polynomial.

Use synthetic division or long division method to find the other factor of the polynomial.

Equation each factor of f(x) equal to 0.

So, the roots are -3, 1, 10. Sum of roots is,

Therefore, the sum of roots of the polynomial is 8.

step-by-step explanation: