Find All the Zeros of the Function and Write the Polynomial

question 23

Multiple Choice

Find all the zeros of the function and write the polynomial as a product of linear factors. ​
X⁴ + 13x² + 36
​

• A)±3i,±2i; (x + 3i)(x - 3i)(x + 2)(x - 2)
• B)±3i,±2i; (x + 3i)(x - 3i)(x + 2i)(x - 2i)
• C)-3i,-2i; (x - 3i)(x - 3i)(x - 2i)(x - 2i)
• D)3i,2i; (x + 3i)(x + 3i)(x + 2i)(x + 2i)
• E)±3i,±2i; (x + 3)(x - 3)(x + 2i)(x - 2i)

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Definitions:

Px(MUx)

This expression denotes the price of a good (Px) multiplied by its marginal utility (MUx), commonly used in economic analysis of consumer choice.

MUx/MUy

Represents the marginal utility of good x relative to the marginal utility of good y, often used in consumer choice theory to analyze optimum consumption points.

TUx/Px

An economic expression evaluating the marginal rate of substitution, which measures how much of one good a consumer is willing to give up for another good, maintaining a constant level of utility.

Marginal Utility

The extra pleasure or advantage gained from using another unit of a product or service.