Which of the following is a linear factor of x5 + 4x3 - 17x + 12? 2x + 3 2x - 1 x - 1 x + 1

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