skomminbv
2021-11-30
Muspee
Beginner2021-12-01Added 13 answers
Step1
Given,
Definition of Intermediate value theorem:
If f(x) be the continuous function on the closed interval [a,b]
then, f(a) and f(b) has opposite sides in the interval,
then there must be some value
Step2
Plug the endpoints of intervals in the given function:
Plug
Plug
From the above definition of intermediate value theorem we get,
there must be some value
Step3
Put
The below graph is the graph of the function,
From the graph, we get at
Therefore roots of the given function are,
The given equation is the equation of polynomial with degree 3 so it has 3 roots.
Now we get one of the roots of the polynomial from the graph we clearly see that the other two graphs are imaginary.
Therefore the roots are
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