Q: Show x³ - 2x - 5 = 0 has a root between 2 and 3. Narrow it down. Step 1: P(2) = 8 - 4 - 5 = -1 < 0. P(3) = 27 - 6 - 5 = 16 > 0. Opposite signs, so a root lies in (2, 3). Step 2: Bisect: P(2.5) = 15.625 - 5 - 5 = 5.625 > 0. Root in (2, 2.5). Step 3: P(2.25) = 11.39 - 4.5 - 5 = 1.89 > 0. Root in (2, 2.25). Step 4: P(2.1) = 9.26 - 4.2 - 5 = 0.06 > 0. Root near 2.09.