Questions: Find the roots of the polynomial shown. What is the value of the largest root? f(x)=x^3-8x^2-23x+30

Solution Steps

To find the roots of the polynomial \( f(x) = x^3 - 8x^2 - 23x + 30 \), we can use numerical methods or libraries that provide polynomial root-finding capabilities. The largest root can then be determined by comparing the real parts of the roots.

We are given the polynomial \( f(x) = x^3 - 8x^2 - 23x + 30 \).

By applying a root-finding method, we determine the roots of the polynomial to be approximately \( 10, -3, \) and \( 1 \).

Among the roots \( 10, -3, \) and \( 1 \), the largest root is \( 10 \).

Final Answer