Find the Remaining Zeros of F(x)given That C Is a Zero

question 196

Multiple Choice

Find the remaining zeros of f(x) given that c is a zero. Then rewrite f(x) in completely factored form.
- $f ( x ) = 2 x ^ { 4 } - 7 x ^ { 3 } + 15 x ^ { 2 } - 35 x + 25 ; c = 1$ is a zero

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

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Definitions:

Increase Or Decrease

Terms that indicate a change in magnitude, quantity, or degree, either going up (increase) or going down (decrease).

Dispersal Patterns

The way in which organisms move or spread from their point of origin to other areas, affecting population dynamics and ecosystem structure.

Clumped Dispersion

The spatial distribution pattern of a population in which individuals are more concentrated in specific parts of the habitat. Also called aggregated distribution and patchiness. Compare with random dispersion and uniform dispersion.

Growth Rate

The rate at which the size of an organism or population increases, usually expressed as a percentage of increase over a specific period of time.