To check whether the given quadratic polynomial is reducible or irreducible, we need to calculate the discriminant
Calculate the discriminant for the equation, −2x
2
−2x−1=0
D=b
2
−4ac=(−2)
2
−4(−2)(−1)=−4<0
Quadratic equation is irreducible if D<0
∴ The quadratic polynomial is irreducible.
Correct option is C