Factor: $z ^ { 2 } - 4 z - 4$
A) $( z + 2 ) ( z - 2 )$
B) $( z - 2 ) ^ { 2 }$
C) $( z + 2 ) ^ { 2 }$
D) $( 2 + z ) ( 2 - z )$
E) Nonfactorable over the integers

Question

Quizplus · Accepted Answer

The given quadratic expression $z^2 - 4z - 4$ does not factor neatly into any of the provided options (A through D), which are either simple binomial products or perfect square trinomials. Since none of these options correctly factor the given expression and it cannot be factored into integers (as its discriminant does not yield a perfect square), the correct answer is E, indicating it is nonfactorable over the integers.

Factor z2−4z−4z ^ { 2 } - 4 z - 4z2−4z−4

Factor $z ^ { 2 } - 4 z - 4$