Use Descartes' Rule of Signs and the Rational Zeros Theorem $$f ( x ) = 2 x ^ { 3 } + 13 x ^ { 2 } + 10 x + 25$$

Multiple Choice

Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the
zeros to factor f over the real numbers.
- $$f ( x ) = 2 x ^ { 3 } + 13 x ^ { 2 } + 10 x + 25$$

A) $- 1 , \frac { 5 } { 2 } , 5 ; f ( x ) = ( 2 x - 5 ) ( x - 5 ) ( x + 1 )$
B) $- 5 , \frac { 5 } { 2 } , 1 ; f ( x ) = ( 2 x - 5 ) ( x - 1 ) ( x + 5 )$
C) $1 , \frac { 2 } { 5 } , - 5 ; f ( x ) = ( 2 x - 5 ) ( x - 1 ) ( x + 5 )$
D) $- 1 , \frac { 2 } { 5 } , - 5 ; f ( x ) = ( 2 x - 5 ) ( x - 5 ) ( x + 1 )$