Question

Factorize
x³ + x + 2​

Answer 1

$\textbf{\underline{\underline{\large{\pink{Step by step Explanation:-}}}}}$

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

$\textbf{\underline{\large{\blue{Hope it helps you.. thanks}}}}$

Answer 2

Answer:

x³ + x + 2

= x^3 + x^2 - x^2 - x + 2x + 2

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

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