Step-by-step explanation:
1) Check if the function is differentiable on that interval. In this case, yes, because all polynomials are differentiable.
2) plug in the bounds of the interval to see if the y-values equal 0.
f(0)=0
f(5)=0
since the last 2 conditions are satisfied, DNE will not be an answer choice.
3)take derivative and make it equal to 0
f' (×) = 5- 2x
0 = 5- 2x
x = 5/2
4) at c = 5/2, f(x) satisfies rolle's theorem.
