Use Synthetic Division and the Factor Theorem to Determine Whether $4 x + 3$

question 69

Multiple Choice

Use synthetic division and the Factor Theorem to determine whether or not $4 x + 3$ is a factor of $P ( x ) = - 12 x ^ { 3 } - 40 x ^ { 2 } + 52 x + 80$ .

• A)No, \(4 x + 3\) is not a factor.
• B)Yes, \(4 x + 3\) is a factor.

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Definitions:

Intermediate Product

This term describes a product that has undergone some processing but is not yet a final product. It requires further manufacturing before reaching the end consumer.

Processed Further

Refers to additional operations or enhancements performed on a product after the initial manufacturing or production stage.

Differential Cost

Represents the difference in total cost that will arise from choosing one option over another in business decisions, often used in the evaluation of alternative projects or decisions.

Product P

A placeholder name for a specific product, often used in examples or theoretical scenarios.