problem 3.7. suppose integer polynomials p and q satisfy that p ( x)/ q ( x ) is an integer for infinitely many integer inputs x. does it follow that q ( x ) divides p ( x ) ?

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30-11-2022
Mathematics

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problem 3.7. suppose integer polynomials p and q satisfy that p ( x)/ q ( x ) is an integer for infinitely many integer inputs x. does it follow that q ( x ) divides p ( x ) ?

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abhinavjh321 abhinavjh321 · Answer 1 · 2022-12-03T17:18:36+01:00

Integer polynomials p and q fulfill that for an unlimited number of inputs of integers x, p (x)/q (x) is an integer. q (x) does not necessarily divide p. (x)

Sums of terms of the form k^xn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.This section covers the ideas of degree, standard form, monomial, binomial, and trinomial.

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