Mathematics Dictionary
Dr. K. G. Shih
Polynomial
Subjects
Read Symbol defintion
Q01 |
- Defintion of polynomial
Q02 |
- Names of polynomial
Q03 |
- Two equal polynomials
Q04 |
- Addition of two polynomials
Q05 |
- Multiplication of two polynomials
Q06 |
- Division of two polynomials
Q07 |
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Q08 |
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Q09 |
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Q10 |
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Answers
Q01. Defintions
Polynomials
An algebraic expression an*x^n + ..... + a3*x^3 + a2*x^2 + a1*x + a0
Degree is n where n is integer.
Coefficients are an, ..... a3,a2, a1, a0.
Symbol defintion on computer
a0 is a subscript 0, a1 is a subscript 1, etc.
* is multiplication sign. E.G. 2*3 = 6.
^ is power sign. E.G. 3^2 = 9, 4^3 = 64, etc
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Q02. Name of polynomials
By degrees
1. Constant polynomial ............ degree n = 0.
2. Linear polynomial .............. degree n = 1.
3. Quadratic polynomial ........... degree n = 2.
4. Cubic .......................... degree n = 3.
5. Quartic polynomial ............. degree n = 5.
By coefficients
Integral polynomial : Coefficients are integers
Rational polynomial : Coefficients are non-integers
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Q03. Two polynomials are equal
Conditions
1. The degree must be the same.
2. The coefficient of each term of two polynomials must be equal.
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Q04. Addition of two polynomials
Rules
1. If there is a missing term, we should use 0 coefficient.
2. The power of each term of the polynomials must be line up
Example
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Q05. Multiplication of two polynomials
Rules
1. If there is a missing term, we should use 0 coefficient.
2. The power of each term of the polynomials must be line up
Example
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Q06. Division of two polynomials
Rules
1. If there is a missing term, we should use 0 coefficient.
2. The power of each term of the polynomials must be line up
Example
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Q07. Functions
Study Subject
Functions
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Q08. Answer
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Q09. Answer
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Q10. Answer
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