Question

if x -1 /2 is a zero of the polynomial q(x) 4x³+kx²-x-1 then find the value of k​

Answer 1

Answer:

Answer=4.

Step-by-step explanation:

Given,

x-1/2 is a zero of polynomial q(x) 4x³+kx²-x-1

x-1/2= 0

x=1/2

now,

q(x)=4x³+kx²-x-1

4x³+kx²-x-1=0

4(1/2)^3+k(1/2)^2-(1/2)-1=0

4(1/8)+1/4k-1/2-1=0

1/2-1/2-1=-1/4k

-1=-1/4k

1=1/4k

4=k

k=4

Hope this helps you.