If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often ...

The basic facts about separable extensions of discrete fields and factoring polynomials are developed in the constructive spirit of Errett Bishop. The ability to factor polynomials is shown to be ...

State and motivate the ‘Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorisation of, ax2+bx+c, a is not equal to 0, where a,b, c are real ...