Factor f(x) into linear factors given that k is a zero of f(x).
-$$f ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 49 x + 196 ; k = 7$$
A) $x ( x - 7 ) ( x - 4 )$
B) $( x - 7 ) ( x + 4 ) ( x + 7 )$
C) $( x - 7 ) ( x - 4 ) ( x + 4 )$
D) $( x - 7 ) ( x - 4 ) ( x + 7 )$

Question

Quizplus · Accepted Answer

Since k = 7 is a zero, (x - 7) is a factor. Using synthetic division or polynomial division, f(x) can be factored as (x - 7)(x - 4)(x + 7).

Factor F(x) into Linear Factors Given That K Is a Zero