Question

if 2x-1 if a factor of 2x³+11x²+4x+k then the value of k is​

Answer 1

Answer is k=-5

Step-by-step explanation:

2x-1=0

x=1/2

p(x)=2x^3 + 11x^2 + 4x + k

p(1/2)=2*(1/2)^3 + 11(1/2)^2 + 4*1/2 +k

        =1/4 + 11/4 + 2 + k

        =12/4 + 2+k

        =3+2+k

        =5+k

now, since this is a factor of p(x)

5+k=0

k=-5