We begin with two consecutive integers, a and a + 1, such that f(a) and f(a - 1) are of opposite sign. Evaluate f at the midpoint m₁ of a and a + 1. If f(m₁) = 0, then m₁ is the zero of f and we are finished. Otherwise, f(rn₁) is of opposite sign to either f(a) or f(a + 1). Suppose that it is f(a) and f(m₁) that are of opposite sign. Now evaluate f at the midpoint m₂ of a and rn₁. Repeat this process until the desired degree of accuracy is obtained. Note that each iteration places the zero in an interval whose length is half that of the previous interval. Use the bisection method to approximate the zero of f(x) = 8x⁴ - 2x² + 5x - 1 in the interval [0. 1] correct to three decimal places.