Question

Use synthetic division and the Remainder Theorem to find P(a)

P(x)=x^4+10x^3+8x^2+4x+10 ; a=2


2


–114


56


146

Answer 1

  P(x) =  x^4+10x^3+8x^2+4x+10

Synthetic dicision:

           ! 1        10       8        4    10
x=a=2 !             2     24      64  136
----------------------------------------------
             1         12    32      68  146=Remainder

P(a)=P(2)=146

Answer: Fourth option. 146