Find all rational zeros and factor f(x).
-$$f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 14 x - 5$$
A) $- \frac { 1 } { 10 } , 1 , - 5 ; f ( x ) = ( 10 x + 1 ) ( x - 1 ) ( x + 5 )$
B) $- 2,5 , - 5 ; f ( x ) = ( x + 2 ) ( x - 5 ) ( x + 5 )$
C) $- \frac { 1 } { 2 } , \frac { 1 } { 5 } , - 5 ; f ( x ) = ( 2 x + 1 ) ( 5 x - 1 ) ( x + 5 )$
D) $- 2,5 , - 5 ; f ( x ) = ( 2 x + 1 ) ( 5 x - 1 ) ( x + 5 )$

Question

Quizplus · Accepted Answer

The rational zeros of the polynomial are $- \frac { 1 } { 2 } , \frac { 1 } { 5 } , - 5$, and the polynomial can be factored as $f ( x ) = ( 2 x + 1 ) ( 5 x - 1 ) ( x + 5 )$.

Find All Rational Zeros and Factor F(x) f(x)=10x3+53x2+14x−5f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 14 x - 5f(x)=10x3+53x2+14x−5

Find All Rational Zeros and Factor F(x) $f ( x ) = 10 x ^ { 3 } + 53 x ^ { 2 } + 14 x - 5$