Completely factor the polynomial or state that the polynomial is prime.
-$$( x - 1 ) ^ { 2 } - 25$$
A) $( x - 6 ) ^ { 2 }$
B) $( x - 4 ) ( x + 6 )$
C) $( x + 24 ) ( x - 26 )$
D) $( x + 4 ) ( x - 6 )$

Question

Quizplus · Accepted Answer

The given polynomial can be rewritten as a difference of squares: $(x - 1)^2 - 5^2$, which factors to $(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4)$.

Completely Factor the Polynomial or State That the Polynomial Is (x−1)2−25( x - 1 ) ^ { 2 } - 25(x−1)2−25

Completely Factor the Polynomial or State That the Polynomial Is $( x - 1 ) ^ { 2 } - 25$