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:

Second Variable

In research or mathematics, a variable typically referred to after the independent variable, which can be manipulated or measured to observe its effects on the dependent variable.

Resulting Behaviour

The actions or reactions that occur as a consequence of specific stimuli, events, or conditions.

Independent Variable

The independent variable is the condition or factor that is manipulated by a researcher to determine its effect on the dependent variable.

Aggressive Behaviour

Actions or conduct that intends to cause harm or exert dominance over another individual.