Question

Use the intermediate value theorem for polynomials to show that each polynomial function has a real zero between the numbers given.

f(x)=2x^2-7x+4 ; 2 and 3

Answer 1

plug in 2, that is find \(f(2)\)
then find \(f(3)\)
one will be positive , one will be negative

Answer 2

since polynomials are continuous, if it is positive somewhere and negative somewhere else, it must be zero in between

Answer 3

and that's it.