Question

using the graph, what are the real solutions to the function f(x) = x^4 + 2x^3 - 25x^2 - 2x + 24? x = {1,4} x = {-6, - 1,1,4} x = {25} x = {-6,4} you can find the real solutions to a polynomial graphically by looking at the graph to see where the graph crosses the x - axis.

Explanation:

Step1: Recall solution concept

The real - solutions of a function \(y = f(x)\) are the \(x\) - values where \(y = 0\), i.e., the \(x\) - intercepts of the graph of the function.

Step2: Identify \(x\) - intercepts

By looking at the graph of the function \(y=x^{4}+2x^{3}-25x^{2}-2x + 24\), we can see that the graph crosses the \(x\) - axis at \(x=-6\), \(x = - 1\), \(x = 1\), and \(x = 4\).

Answer:

\(x=\{-6,-1,1,4\}\)