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

question 22

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) \(- 1 , \frac { 2 } { 5 } , - 5 ; f ( x ) = ( 2 x - 5 ) ( x - 5 ) ( x + 1 )\)

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