Math Problem Statement

Factorise the following

Factorise: (i) x^3 - 2x^2 - x + 2 (ii) x^3 - 3x^2 - 9x - 5 (iii) x^3 + 13x^2 + 32x + 20 (iv) 2y^3 + y^2 - 2y - 1

Solution

To factorize the given polynomials, we need to find the factors that multiply to give the original expressions. Let's start by examining each polynomial one by one:

(i) x32x2x+2x^3 - 2x^2 - x + 2

  1. Grouping and Factoring: [ x^3 - 2x^2 - x + 2

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Math Problem Analysis

Mathematical Concepts

Polynomial Factorization
Algebra

Formulas

Grouping method for polynomials
Factor theorem
Synthetic division

Theorems

Factor Theorem
Remainder Theorem

Suitable Grade Level

Grades 9-11