Jika F(×) dibagi (×-1) sisanya 2 dan jika F(×) dibagi ×-2 sisanya 61, tentukan sisanya jika F(×) ÷ ײ-3×+2

Pakai Teorema Sisa

[tex]F(x) = H(x)P(x) + S(x) \\ F(x) = H(x)(x-1)+ 2, F(1)=2 \\ F(2) = H(x)(x-2)+ 61, F(2)=61 \\ F(x) =H(x)(x^2-3x+2)+S(x), misal: S(x) = px+q \\ F(x) =H(x)(x-1)(x-2)+px+q \\ F(1) = p+q = 2 \\ F(2) = 2p+q=61 \\ p = 59, q = -57 \\ S(x) = 59x-57[/tex]