<u>Answer:</u>
The solution of equation 4x^3 + 4x^2-x-1 = 0 given that -1/2 is a zero of f(x) = 4x^3 + 4x^2-x-1 is 
<u>Solution:</u>
Given, cubic equation 
And
is a zero of 
We have to find the other two roots of the given quadratic equation.
Let the other two roots be a, b.
Now, we know that, sum of roots of cubic equation 

Now, product of roots of cubic equation 


substitute above value in this formula


Now, solve (1) and (2)

substitute "a" value in (1)

Hence, the roots of the given cubic equation are 