Monic Polynomial (Noun)
Meaning
A polynomial in one variable.
Classification
Nouns denoting cognitive processes and contents.
Examples
- A monic polynomial is a polynomial with the leading coefficient equal to one, such as x^3 + 2x^2 - 7x + 1.
- The polynomial x^4 - 3x^2 + 2 is a monic polynomial because its leading coefficient is 1.
- In the polynomial x^2 + 2x - 3, the leading coefficient is 1, making it a monic polynomial.
- The monic polynomial x^5 - x^3 + x - 1 has a leading coefficient of 1.
- The polynomial 2x^3 + x^2 - x - 1 is not a monic polynomial because its leading coefficient is 2, not 1.