Question

(x–1) is a factor of 2x3 – 5x2 + Kx + 7 then K = –––––––

Answer 1

(x - 1) is a factor of 2x³ - 5x² + kx + 7

So, x - 1 = 0
x = 1

2(1)³ - 5(1)² + k(1) +7 = 0
2 - 5 + k + 7 = 0
4 + k = 0
k = - 4

Hope This Helps You!

Answer 2

If (x-1) is a factor of the following expression then the remainder will be 0
Let x-1=0 then
x=1
putting in expression
we get
2(1)³-5(1)²+k(1)+7=0
2-5+k+7=0
k=-4