The location theorem asserts that the polynomial equation f(x) 0 has a root in the open
Chapter 12, Problem 42(choose chapter or problem)
The location theorem asserts that the polynomial equation f(x) 0 has a root in the open interval (a, b) whenever f(a) and f(b) have unlike signs. If f(a) and f(b) have the same sign, can the equation f(x) 0 have a root between a and b? Hint: Look at the graph of f(x) x2 2x 1 with a 0 and b 2.
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