Write p(x) = 375 -7³+57²-1 in the form of nested multiplication. Compare the computational cost (number of operations) between the nested form and a naive computation to evaluate p(-1).

Let the transformation T : IR³ →R² be given by the formula T(x,,X2,X3) = (2x, –x,, X, +3x;). Find the standard matrix of this transformation and write it in matrix multiplication form. Check correctness of your answer for the point (1,4,-3).

Perform the operation

Differentiate