Question

17. Find the constant k if 2 x -1 is a factor of f(x) = 4 x² +kx +1. Using this value of k, factorize f(x)​

Answer 1

Answer:

k=-4

Step-by-step explanation:

2x-1= o if is a factor

2x=1

so, x= 1/2

f(1/2)= 4(1/2)^2+k (1/2)+1=0

4*1/4+k/2+1=0

1+k/2+1=0

k+4=0

k=-4