form a polunomial whose zeros and degree are givenzeros: 1,-2,3;degree3 and P(2)=8

Question

i dont understand P(2)=8 what to do with it

 

Answer 1

P(x) = a(x-1)(x+2)(x-3)

Plug in (2, 8),

8 = a(1)(4)(-1)

a = -2

Answer: P(x) = -2(x-1)(x+2)(x-3)