17 =4 6. When F(x) = Kx? + Wx + 6 + 2x' is divided by x + 2, the remainder is -12. If F(x) is divisible by (x - 1), determine the values of K and W. divisor : (x+2 ) 4*- 2W =-2 0 remainder: -12 remainder O relicunder theorer F (-2) = -12 K = - 8-W FC) = 0 Sub @' into @ 2(-2) + K (2) + W/# 6 =42 2(1) + KCD +WC) +6:0 14 ( - 8 - W ) - 2w =-2 -16+4K -2 w + 6 = -12 2 + K + W+ 6 = D -32 - 4w/ -2w/= -2 -32 - 6w = -2 AK -241 -10 =-12 KAW TB = D 732 #K - 2w = -2 - 6w = 30 KTw = - 8 - 6 -6 WE -5 K = -3 K = - 8-W WE - 5 Ka-8- (-5) 30 K = = 3