Question

If (x - 2) is a factor of (x - 1)5 – (2x + 3k), then the value of k is
(A) 1
(B)-1
(C) 2.​

Answer 1

Answer: -1

Step-by-step explanation:

x=2

(2-1) power 5 -(2*2+3k) power2 =0

1 power 5 -(4+3k) power2=0

1=(4+3k) power 2 . Now use (a+b)²=a²+b²+2ab

1=16+9k²+24k

1 = 16+9(-1)²+24(-1)

1= 16+9-24

1=1

HENCE CORRECT VALUE OF K IS -1