# (a) Find all roots of f(x) = x2 + 4x if f(x) Z12[x]. (b) Find four distinct linear polynomials g(x), h(x), s(x), t(x) Z12[x] so that f(x) = g(x) h(x) = s(x)t(x). (c) Do the results in part

(a) Find all roots of f(x) = x2 + 4x if f(x) ∈ Z12[x].

(b) Find four distinct linear polynomials g(x), h(x), s(x), t(x) ∈ Z12[x] so that f(x) = g(x) h(x) = s(x)t(x).

(c) Do the results in part (b) contradict the statements made in the paragraph following Example 17.7?

(b) Find four distinct linear polynomials g(x), h(x), s(x), t(x) ∈ Z12[x] so that f(x) = g(x) h(x) = s(x)t(x).

(c) Do the results in part (b) contradict the statements made in the paragraph following Example 17.7?

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**Related Book For**

## Discrete and Combinatorial Mathematics An Applied Introduction

**ISBN:** 978-0201726343

5th edition

**Authors:** Ralph P. Grimaldi

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