The given function is
When we divide f by (x - 4) the remainder is 35
That means If we substitute x by 4, the answer should be 35
Then we have to equate x - 4 by 0 first, to get the value of x = 4
Then substitute x by 4 and equate the answer by 35
Solve the equation
Subtract 51 from both sides
Divide both sides by 4
The value of k is -4