Question

Find the value of k if x-2 is a factor of4×3 +3×2_4×+k

Answer 1

I hope the factor of p(x) =4x^3+3x^2-4x+k is x-2
Since x-2 is a factor of p(x)
Therefore 2 is the root of p(x)
Using remainder theorem
4(2)^3+3(2)^2-4(2)+k=0
K=-36