factor x as a product of three linear polynomials in Z/30Z[x] by using Chinese remainder theorem

1) Let P(x) = 2x-3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the possible number of positive and negative real roots of P(x). b) What does it mean to say that a is the lower bound and b is the upper bound for the zeros of a polynomial?

Factor x12 - 1 as a product of irreducible polynomials over Z.

Use the Remainder Theorem and synthetic division to find f(-6) for f(x) = 2 x³ + 6x² - 26 x+ 20 Use the paperclip button below to attach files. * Student can enter max 3000 characters U = ΞΩ B I X BI UH 오 U