Question: Use the polynomial below to answer the following questions.
-10x^6 - 2x^5 + 4x^4 + 7x^3 - 9x^2 + 5.5x - 1
How many terms are in this polynomial? (Chapter 7)
Select the correct response:
6
5
4
1. The problem asks to find how many terms are in the polynomial $$-10x^6 - 2x^5 + 4x^4 + 7x^3 - 9x^2 + 5.5x - 1$$.
2. A term in a polynomial is each part separated by a plus or minus sign, including its coefficient and variable part.
3. Count each term:
- $$-10x^6$$ (1st term)
- $$-2x^5$$ (2nd term)
- $$4x^4$$ (3rd term)
- $$7x^3$$ (4th term)
- $$-9x^2$$ (5th term)
- $$5.5x$$ (6th term)
- $$-1$$ (7th term)
4. There are $$7$$ terms in total.
5. Since the options are 6, 5, and 4, none exactly match the count of 7 terms.
6. However, if the constant term $$-1$$ is considered separately, the polynomial has 7 terms.
Final answer: The polynomial has 7 terms, which is not listed among the options.