Find All Real Zeros of the Polynomial $$f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 6 x ^ { 2 }$$

question 48

Multiple Choice

Find all real zeros of the polynomial $$f ( x ) = x ^ { 4 } + 7 x ^ { 3 } + 6 x ^ { 2 }$$ and determine the multiplicity of each.

• A) \[x = 0 \text {, multiplicity } 2 ; x = - 1 \text {, multiplicity } 1 ; x = - 6 \text {, multiplicity } 1\]
• B) \(x = 1 , \text { multiplicity } 2 ; x = 6 , \text { multiplicity } 2\)
• C) \(x = 0 \text {, multiplicity } 2 ; x = 1 \text {, multiplicity } 1 ; x = 6 \text {, multiplicity } 1\)
• D) \(x = - 1 , \text { multiplicity } 2 ; x = - 6 , \text { multiplicity } 2\)
• E) \(x = 0 , \text { multiplicity } 1 ; x = 1 , \text { multiplicity } 1 ; x = - 1 , \text { multiplicity } 1 ; x = 6 \text {, multiplicity } 1\)

Identify different types of gifts and their terminologies.

Understand the role and function of advancement services in fundraising.

Differentiate between types of foundations and their operational characteristics.

Understand the trends and expected growth in different types of giving.

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Definitions:

Fixed Expenses

Costs that do not vary with the level of production or sales, such as rent, salaries, or utilities.

Profit

The financial gain achieved when the revenues generated from business activities exceed the expenses, costs, and taxes needed to sustain those activities.

Margin Of Safety

The extent to which sales can decline before a business reaches its breakeven point.

Variable Expenses

Costs that change in proportion to the level of production or sales activities.