irreducible Sentence Examples
- The quadratic equation x^2 – 5x + 6 = 0 has two distinct real roots and is, therefore, irreducible.
- The polynomial x^3 + 2x^2 + x + 2 is irreducible over the field of rational numbers.
- The polynomial x^4 + 1 is irreducible over the field of complex numbers.
- The only irreducible polynomials of degree 1 are linear polynomials.
- Every polynomial of degree 2 is either irreducible or factorable into two linear polynomials.
- The factorization of an irreducible polynomial into a product of two polynomials of lower degree is called a proper factorization.
- The irreducible polynomials of degree 3 are called cubic polynomials.
- The irreducible polynomials of degree 4 are called quartic polynomials.
- The irreducible polynomials of degree 5 are called quintic polynomials.
- The Eisenstein criterion is a test for determining whether a polynomial is irreducible.
irreducible Meaning
irreducible (a)
incapable of being made smaller or simpler
irreducible (a.)
Incapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condition; as, an irreducible hernia.
Incapable of being reduced to a simpler form of expression; as, an irreducible formula.
Synonyms & Antonyms of irreducible
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FAQs About the word irreducible
incapable of being made smaller or simplerIncapable of being reduced, or brought into a different state; incapable of restoration to its proper or normal condit
small, smaller, minor, smallest, low, modest,lesser, littlest, fewer, lowest
highest, most, most, highest, biggest, greatest, utmost, maximum, top, maximum
The quadratic equation x^2 – 5x + 6 = 0 has two distinct real roots and is, therefore, irreducible.
The polynomial x^3 + 2x^2 + x + 2 is irreducible over the field of rational numbers.
The polynomial x^4 + 1 is irreducible over the field of complex numbers.
The only irreducible polynomials of degree 1 are linear polynomials.
