Exploring the Basics of Polynomials and Their Practical Use

A Comprehensive Introduction to Polynomials and their Mathematical Power

1. What is the meaning of Polynomial?

2. What is the meaning of variables?

3. What is meant by coefficients?

4. What is the meaning of term in the context of polynomial?

5. Polynomial consists of only coefficients and variables. Comment.

6. Whether numerical number alone can be a polynomial?

7. Many terms come together and form a polynomial. Whether a single term can form a polynomial?

8. Whether the power of variable in a polynomial can be negative?

9. Whether the exponents on variable are allowed to be fractional?

10. Whether a Polynomial has only one variable?

11. Whether the terms in a Polynomial can contain different powers of the same variable?

12. Whether the terms of a polynomial are compulsorily required to be arranged in descending order of the degree of the variable?

13. Whether a polynomial can have multiple variables?

14. It is a common convention to arrange to terms of a polynomial in descending order of the degree of variable. What does it mean?

15. If there is a polynomial 5×2 + 3x – 4, identify coefficient, variable and constant?

16. Whether it is correct that in the case of polynomial, the terms are connected by addition or substraction?

17. If there is no power on variable in a polynomial, then it is to be taken as 0 or 1. Comment.

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