If (2x — 1) is a factor of $$2x^4 — 7x^3+x + k=0$$​, then find the value of 'k’.

Correct option is C

Given:

(2x — 1) is a factor of $$2x^4 — 7x^3+x + k=0$$​​

Solution:

2x-1=0

x=1/2

Put the value of x in equation to get the value of k

​$$2x^4 — 7x^3+x + k=0$$​​

​$$2(\frac{1}{2})^4 -7(\frac{1}{2})^3 +(\frac{1}{2}) +k=0$$​​

​$$\frac{1}{8}-\frac{7}{8}+\frac{4}{8}+k=0$$​​

k =2/8

So, value of k =1/4.