1.Anna made an error in determining the polynomial equation of smallest degree whose roots are -4, -2, -1/2, and 2.

Review Anna's work, identify the error and correct all work from that point forward that is affected by this error. Include at least one sentence explaining her error.

(x+4)(x+2)(2x+1)(x+2)=0

(x^2-4)(x^2+9x+4)

x^4+9x^3+4x^2-4x^2-36x-16=0

x^4+9x^3-36x-16=0