Question

Want to make sure I am doing this correctly.

Use the Intermediate Value Theorem for polynomials to show that the polynomial function f(x)has zero between the numbers given.

f(x)=3x^2-x-4 ; 1 and 2

3(1)^2-1-4= - 2 below zero
3(2)^2-1-4= 6 above zero

Am I doing this problem correct

Answer 1

correct. It can't get from -2 to 6 without going through 0 somewhere in between.

You also need to mention that f(x) is continuous. That is necessary.

Answer 2

Thank you for your help.