Evaluate each of these answers:
For example, evaluate
A.
(-1/2)^4 + 7*(1/2)^2 - 9*(1/2) -1
and
0^4 + 7*0^2 - 9*0 -1
If one of these answers is negative and one of these is positive, then the Intermediate Value Theorem guarantees that the polynomial has a root in this interval. If both of the evaluations at the ends of the interval are positive, or both are negative, then the Intermediate Value Theorem does not guarantee that the polynomial has a root in this interval.
Repeat this for B,C, and D, or until you find the right answer.
On which interval does the Intermediate Value Theorem guarantee that the polynomial x^4 + 7x^2 − 9x −
1 has a root?
A. (-1/2,0)
B. (1/2,1)
C. (0,1/2)
D. (-1,-1/2)
1 answer