Use Substitution to Factor the Polynomial Completely $4 x ^ { 4 } + 4 x ^ { 2 } - 15$

question 345

Multiple Choice

Use substitution to factor the polynomial completely.
- $4 x ^ { 4 } + 4 x ^ { 2 } - 15$

• A) \(\left( 2 x ^ { 2 } - 3 \right) \left( 2 x ^ { 2 } + 5 \right)\)
• B) \(\left( 4 x ^ { 2 } - 3 \right) \left( x ^ { 2 } + 5 \right)\)
• C) \(\left( 2 x ^ { 2 } - 15 \right) \left( 2 x ^ { 2 } + 1 \right)\)
• D) \(\left( 2 x ^ { 2 } + 3 \right) \left( 2 x ^ { 2 } - 5 \right)\)

---

Definitions:

Marginal Analysis

An examination of the additional benefits of an activity compared to the additional costs incurred by that same activity, emphasizing decisions at the margin.

Scarce

A term describing the limited availability of resources relative to the wants and needs for them, leading to the necessity of making economic choices.

Additional Benefit

An additional benefit refers to extra advantages or perks that come from using a product or engaging in an activity, beyond the primary gains.

Additional Cost

The extra cost that is incurred when an economic agent decides to increase the level of an activity or purchase.