Question

As raízes do polinômio p(x) são -4, -3, -2, 1 e 2. Além disso, p(0) = 3. Qual o valor de p(4)?
a) 60
b) 256
c) 30
d) 126
e) -126

Answer 1

p(x)= a(x+4).(x+3)(x+2)(x-1)(x-2)
p(0)=3

para achar a :

3=a.4.3.2.(-1)(-2)
3=48a
a=3/48

p(4)= 3/48(4+4).(4+3)(4+2)(4-1)(4-2)
p(4)=(3/48)(8)(7)(6)(3)(2)
p(4)=6048/48
p(4)=126

d)126