CRL 1.8 functions MrG 2011.0920 - sage
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The document defines several polynomial functions and evaluates them for different inputs. It defines f(x)=x^3-10x^2+31x-30 and evaluates it for various values of x, y, a, printing the results. It then defines another polynomial phi(x)=x^4-55x^2-210x-216 and evaluates it and f for some values. Finally it defines a 5th degree polynomial F(x) and evaluates it for several inputs, printing all results as 0.
CRL 1.8 functions MrG 2011.0920 - sage
- 1. jsMath CRL 1.8 Functions MrG 2011.0920 #1) var('y,a,z') f(x)=x^3-10*x^2+31*x-30 print(f(0)) print(f(y)) print(f(2)) print(f(a)) print(f(3)) print(f(5)) print(f(y*z)) print(f(1)) print(f(-3)) print(expand(f(x-2))) print(f(-1)) print(-6*f(6)) -30 y^3 - 10*y^2 + 31*y - 30 0 a^3 - 10*a^2 + 31*a - 30 0 0 y^3*z^3 - 10*y^2*z^2 + 31*y*z - 30 -8 -240 x^3 - 16*x^2 + 83*x - 140 -72 -72 #3) phi(x)=x^4-55*x^2-210*x-216 print(f(2)) print(phi(-2)) print(f(3)) print(phi(-3)) print(f(5)) print(phi(-4)) print(f(0)+phi(0)+246) 0 0 0
- 2. 0 0 0 0 #5) F(x)=x*(x-1)*(x+6)*(x-1/2)*(x+5/4) print(F(0)) print(F(1)) print(F(-6)) print(F(1/2)) print(F(-5/4)) 0 0 0 0 0 #7)