Question: 1. Consider the problem of computing the polynomial (x+2). Here n is a positive integer (a) Construct an optimal (optimal in the sense of

1. Consider the problem of computing the polynomial (x+2)". Here n is a positive integer (a) Construct an optimal (optimal in the sense of running time) iterative algorithm that computes (x + 2)" Determine its running time (b) Construct an optimal (optimal in the sense of running time) divide and conquer algorithm that computes (x + 2)" Determine the recurrence relation for the running time of the algorithm What is its running time?

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