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📰 The polynomial \( f(x) = x^3 - 6x^2 + 11x - 6 \) can be analyzed using Vieta's formulas. For a cubic polynomial of the form \( ax^3 + bx^2 + cx + d \), the sum of the roots is given by \( -b/a \). Here, \( a = 1 \) and \( b = -6 \). Therefore, the sum of the roots is \( -(-6)/1 = 6 \). 📰 A glaciologist is using remote sensing data to model glacier melt over time. The rate of change in glacier volume is represented by \( g(t) = t^3 - 4t^2 + 4t \). Determine the critical points where the volume change rate is zero. 📰 To find the critical points, we compute the derivative \( g'(t) \) and set it to zero.