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.
