Question

using factor theorem, factorize each of the following polynomials : x³ +2x² - x - 2​

Answer 1

Step-by-step explanation:

${x}^{3} + 2 {x}^{2} - x - 2 \\ = {x}^{3} - x + {2x}^{2} - 2 \\ = x( {x}^{2} - 1) + 2( {x}^{2} - 1) \\ = (x + 2)( {x}^{2} - 1)$

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Answer 2

Question :

using factor theorem, factorize each of the following polynomials : x³ +2x² - x - 2

Solution :

x³ +2x² - x - 2

$\tt \implies$ x²(x+2) -1(x+2)

$\tt \implies$ (x+2)(x²-1)

$\tt \implies$ (x+2)(x-1)(x+1)

x³ +2x² - x - 2 = (x+2)(x-1)(x+1)