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 ...

This is a preview. Log in through your library . Abstract For a polynomial P of degree greater than 1 we show the existence of patterns of the form (x, x + t, x + P(t)) with a gap estimate on t in ...

Polynomial equations are fundamental concepts in mathematics that define relationships between numbers and variables in a structured manner. In mathematics, various equations are composed using ...

This is a preview. Log in through your library . Abstract We lift upper and lower estimates from linear functionals to n-homogeneous polynomials and using this result show that l∞ is finitely ...