Question

x^3 +x^2 - 4x-4 factorise the cubic Polynomials​

Answer 1

Step-by-step explanation:

$given \: {x}^{3} + {x}^{2} - 4x - 4$

$= {x}^{2} (x + 1) - 4(x + 1)$

$= (x +1)( {x}^{2} - 4)$

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

$= (x + 1)(x + 2)(x - 2)$

$by \: algebraic \: identity$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

therefore (x +1),(x+2),and ( x-2) are factors of given polynomials