x^5+4x^3-17x+12 (1)^5+4(1)^3-17(1)+12 1+4-17+12=0 x-1 is a factor (-1)^5+4(-1)^3-17(-1)+12 -1-4+17+12=24 x+1 is not a factor (1/2)^5+4(1/2)^3-17(1/2)+12 1/32+4(1/8)-17/2+12 1/32+1/2-17/2+12 2x-1 is not a factor (-3/2)^5+4(-3/2)^3-17(-3/2)+12 (-243/32)+4(-27/8)+51/2+12 -243/32-27/2+51/2+12=525/32 2x+3 is not a factor
