Give the Maximum Number of Zeros the Polynomial Function May $f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$

question 348

Multiple Choice

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how
many positive and how many negative zeros it may have.
- $f ( x ) = x ^ { 7 } + x ^ { 6 } + x ^ { 2 } + x + 8$

• A) 7; 0 positive zeros; 1 negative zero
• B) 7; 0 positive zeros; 2 or 0 negative zeros
• C) 7; 0 positive zeros; 3 or 1 negative zeros
• D) 7; 0 positive zeros; 0 negative zeros

---

Definitions:

Overhaul The Engine

The process of taking apart an engine, cleaning, repairing, or replacing its components, and reassembling it to improve performance or extend its life.

Good Faith

The honest intention to act without taking an unfair advantage over another party in a transaction.

Unenforceable

Not capable of being executed or enforced under the law or in practice.

Additional Consideration

Additional or extra benefits or compensation given above what was originally agreed upon in a contract or agreement.