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)