Use Descartes' Rule of Signs and the Rational Zeros Theorem $$f ( x ) = 4 x ^ { 3 } + 19 x ^ { 2 } - 8 x + 15$$

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.
- $$f ( x ) = 4 x ^ { 3 } + 19 x ^ { 2 } - 8 x + 15$$

A) $1 , \frac { 4 } { 3 } , - 5 ; f ( x ) = ( 4 x - 3 ) ( x - 1 ) ( x + 5 )$
B) $- 5 , \frac { 3 } { 4 } , 1 ; f ( x ) = ( 4 x - 3 ) ( x - 1 ) ( x + 5 )$
C) $- 1 , \frac { 4 } { 3 } , - 5 ; f ( x ) = ( 4 x - 3 ) ( x - 5 ) ( x + 1 )$
D) $- 1 , \frac { 3 } { 4 } , 5 ; f ( x ) = ( 4 x - 3 ) ( x - 5 ) ( x + 1 )$