(a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested multiplications, that is successively taking x as a common factor in the remaining polynomials of decreasing degrees, for example 3x + 2x? + 5x +4 = x(x(3x + 2) + 5) + 4. Represent the given polynomial given in (a) using nested multiplications and briefly explain the con- nection between the presented algorithm and this representation.

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