For the Polynomial, List Each Real Zero and Its Multiplicity $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 4 } ( x + 1 ) ^ { 5 }$$

question 228

Multiple Choice

For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at
each x -intercept.
- $$f ( x ) = \left( x + \frac { 1 } { 4 } \right) ^ { 4 } ( x + 1 ) ^ { 5 }$$

• A) \(\frac { 1 } { 4 }\), multiplicity 4 , touches \(x\)-axis; 1 , multiplicity 5 , crosses \(x\)-axis
• B) \(\frac { 1 } { 4 }\), multiplicity 4 , crosses \(x\)-axis; 1 , multiplicity 5 , touches \(x\)-axis
• C) \(- \frac { 1 } { 4 }\), multiplicity 4 , touches \(x\)-axis; \(- 1\), multiplicity 5 , crosses \(x\)-axis
• D) \(- \frac { 1 } { 4 }\), multiplicity 4 , crosses \(x\)-axis; \(- 1\), multiplicity 5 , touches \(x\)-axis

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Definitions:

Expect

To anticipate or regard as likely to happen in the future.

Random Variable

A variable whose values depend on outcomes of a random phenomenon, often used in probability and statistics.

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Fundamental beliefs or principles that guide behavior and decision-making.

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Lacking predictability, certainty, or clarity, often leading to risk or indecision in decision-making processes.