Question

Q3.​Find the value of k for which (x - 1) is a factor of (2x3+ 9x2 + x + k).

Answer 1

g(x)=x-1
x=1
f(x)=2x^3+9x^2+x+k
f(1)=2*1^3+9*1^2+1+k=0
2+3+9+k=0
K=-14