On the Factorization of Polynomials to a Prime Modulus

1935 ◽  
Vol 36 (4) ◽  
pp. 870
Author(s):  
Morgan Ward
Keyword(s):  
Prime Modulus ◽  
Factorization Of Polynomials

On Ritt's Factorization of Polynomials

2000 ◽  
Vol 62 (1) ◽  
pp. 127-138 ◽  
Author(s):  
A. F. Beardon ◽  
T. W. Ng
Keyword(s):  
Factorization Of Polynomials

5. The algebra of polynomials and cubic equations

2015 ◽  
pp. 53-74
Author(s):  
Peter M. Higgins
Keyword(s):  
Constant Term ◽  
Complex Numbers ◽  
Distributive Law ◽  
Factorization Of Polynomials

Polynomials are expressions of the form p(x) = a0 + a1x + a2x2 + ... + anxn; the number ai is the coefficient of xi, a 0 is the constant term of p(x), and an is the leading coefficient. The underlying algebra of polynomials mirrors that of the integers. Polynomials can be added, subtracted, and multiplied, and the laws of associativity and commutativity and the distributive law of addition over multiplication all hold. Division is more complicated. ‘The algebra of polynomials and cubic equations’ outlines the Remainder and Factor Theorems along with complex numbers in the Argand plane. The factorization of polynomials, the Rational Root Theorem, the Conjugate Root Theorem, and solution of cubic equations are also discussed.

On factorization of polynomials in henselian valued fields

2018 ◽  
Vol 46 (7) ◽  
pp. 3205-3221 ◽  
Author(s):  
Anuj Jakhar ◽  
Sudesh K. Khanduja ◽  
Neeraj Sangwan
Keyword(s):  
Valued Fields ◽  
Henselian Valued Fields ◽  
Factorization Of Polynomials
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