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The sum of 5x^2+12x+4 kind is called polynom of one variable. ("^" means raising into power. This notation is taken from BASIC). Gorner's scheme fir polynom calculation is:
12x^4+56x^3+3x^2+x+45=(((12x+56)x+3)x+1)x+45
34x^4+3x^2=(((34x+0)x+3)x+0)x+0=(34x^2+3)x^2
In BASIC:
P=A(N):FOR I=N-1 TO 0 STEP -1:P=P*X+A(I):NEXT
Meditate.
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