Question 1165686
the equation is f(x) = x^4 - 3x^2 - 8


when x = 0, f(x) = -8
when x = 1, f(x) = -10
when x = 2, f(x) = -4
when x = 3, f(x) = 46


looks like a zero of f is between x = 2 and x = 3.


the graph of the equation is shown below.


<img src = "http://theo.x10hosting.com/2020/092402.jpg" >


here's a reference on the intermediate value theorem.


<a href = "https://www.mathsisfun.com/algebra/intermediate-value-theorem.html" target = "_blanak">https://www.mathsisfun.com/algebra/intermediate-value-theorem.html</a>