Find all rational zeros and factor f(x).
-$$f ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 2 x + 24$$
A) $- 3 , - 4,2 ; f ( x ) = ( x + 3 ) ( x + 4 ) ( x - 2 )$
B) $3,4 , - 2 ; f ( x ) = ( x - 3 ) ( x - 4 ) ( x + 2 )$
C) $4,5 , - 2 ; f ( x ) = ( x - 4 ) ( x - 5 ) ( x + 2 )$
D) $- 4 , - 5,2 ; f ( x ) = ( x + 4 ) ( x + 5 ) ( x - 2 )$

Question

Quizplus · Accepted Answer

The rational zeros of the polynomial $f(x) = x^3 - 5x^2 - 2x + 24$ are 3, 4, and -2. The polynomial can be factored as $f(x) = (x - 3)(x - 4)(x + 2)$.

Find All Rational Zeros and Factor F(x) f(x)=x3−5x2−2x+24f ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 2 x + 24f(x)=x3−5x2−2x+24

Find All Rational Zeros and Factor F(x) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 2 x + 24$