Solve the Equation by the Zero-Factor Property $3 x ^ { 2 } + 5 x + 7 = 0$

question 302

Multiple Choice

Solve the equation by the zero-factor property.
-Which one of the following equations is set up for direct use of the square root property?

• A) \(3 x ^ { 2 } + 5 x + 7 = 0\)
• B) \(( 3 x + 5 ) ^ { 2 } = 7\)
• C) \(x ^ { 2 } + x = 7\)
• D) \(( 3 x + 5 ) ( x + 7 ) = 0\)

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Definitions:

Break-Even Point

The point at which total costs and total revenue are equal, resulting in no net loss or gain, and where the business is essentially covering all its costs.

Contribution Margin Ratio

A measure of a company's ability to cover variable costs with sales, calculated as (Sales - Variable Costs)/Sales.

Fixed Costs

Expenditures on items like rent, salaries, and insurance that stay fixed, irrespective of production or sales figures.

Contribution Margin Ratio

A financial metric that calculates the percentage of sales revenue that exceeds variable costs, contributing toward fixed costs and profit.