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SOLVED:Polynomials can be evaluated in a nested form (also called Horner's method) that has two advantages: the nested form has significantly less computation, and it can reduce roundoff error. For p(x)=a0 a1 x a2 x^2 … an-1 x^n-1 an x^n its nested form is p(x)=a0 x(a1 x(a2 … x(an-1 x(an)) …)) Consider the polynomial p(x)=x^2 1.1 x-2.8. a) Compute p(3.5) using three-digit rounding, and three-digit chopping arithmetic. What are the absolute errors? (Note that the exact value of p(3.5) is 13.3 .)
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