Solve the Problem. -Let H Be the Set of All Polynomials Having Degree

question 15

Multiple Choice

Solve the problem.
-Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If it is not a vector space, determine which of the following properties
It fails to satisfy.
A: Contains zero vector
B: Closed under vector addition
C: Closed under multiplication by scalars

• A)H is not a vector space; not closed under multiplication by scalars
• B)H is not a vector space; does not contain zero vector
• C)H is a vector space.
• D)H is not a vector space; not closed under vector addition

---

Definitions:

Stock Price

The cost at which a share of a company's stock can be bought or sold in the market.

Put Option

A financial contract giving the holder the right, but not the obligation, to sell a specific amount of an underlying asset at a set price within a specific period.

Call Option

A financial contract giving the buyer the right, but not the obligation, to purchase an asset at a specified price within a certain period.

Stock Price

Stock price is the cost of purchasing a share of a company's stock, reflecting the market's valuation of the company at any given time.