Question

Fungsi fx dibagi (x+3) sisa 6 dibagi (x-2) sisa 8. Fungsi gx dibagi (x+3) sisa 4 dibagi (x-2) sisa 1. Fungsi hx = fx . gx Tentukan sisa pembagian hx oleh x^2+x-6

Tolong ya. beserta caranya.

Answer 1

F(-3) = 6, f(2) = 8, g(-3) = 2, g(2)= 1 x^2+x-6 = ( x+3) (x-2) h(-3) = f (-3) g(-3)= 6x2= 12 h(2) = f (2) g(2) = 8x1=8 ingat : h(x)= px+q h(-3) = -3p+q =12 h(2) = 2p+q=8 -3p+q =12 2p+q =8 --------------- - -5p =4 p= -4/5 2p+q = 8 2(-4/5)+q= 8 -8/5+q=8 q=8+8/5 = 48/5 s(x) =px+q = -4/5x +48/5