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
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1 12 32 68 146=Remainder

P(a)=P(2)=146

Answer: Fourth option. 146