Use the Definition Of $O$ -Notation to Prove That $15 x ^ { 3 } + 8 x + 4$

question 8

Essay

Use the definition of $O$ -notation to prove that $15 x ^ { 3 } + 8 x + 4$ is $O \left( x ^ { 3 } \right)$ .(Do not use the theorem on polynomial orders.)

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Definitions:

Lalonde Report

A seminal Canadian document from 1974 that proposed the concept of "health field," emphasizing the impact of lifestyle, environment, human biology, and health care organization on health.

Healthy Public Policy

denotes policies aimed at promoting and protecting the health of the population through actions in various sectors beyond healthcare, focusing on preventing health issues before they occur.

Canadian Medicare System

Canada's publicly funded healthcare system, providing coverage for medically necessary hospital and physician services.

Regulatory Body

An organization established by the government to regulate and supervise a specific sector or activity.