Polynomial Function

Question

Determine the value of the constant k so that x-2 is a factor of

f(x)= 2x4+kx³+4x+6

 

 

 

Answer 1

Do synthetic division by 2, into   2  k  0  4  6;

at the last stage you will have 6 + 40+8k to compute the remainder, which must be 0 if (x-2) is a factor.

Therefore k = -23/4