Posted by **Darah** on Wednesday, May 8, 2013 at 3:46pm.

We first note how the polynomial in the previous exercise

can be written in the nested multiplication method:

8 + x(−10 + x(7 + x(−2 + x(3 + 12x)))).

Using this representation, the following pseudocode procedure

(implementing Hornerâ€™s method) can be used to evaluate the

given polynomial.

procedure PolynomialEvaluation2

(n: nonnegative integer;

r,a0,a1,a2,. . .,an: real)

begin

value := an

for j := n - 1 down to 0 do

value := aj + r * value

end

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