Question

Descompuneți în factori expresia E(x)= X2+5x+6

Answer 1

E( x ) = x² + 5 x + 6 = x² + 2 x + 3 x + 6 = x ( x + 2 ) + 3 ( x + 2 ) = ( x + 2 ) ( x + 3 )

Answer 2

$E(x) = {x}^{2} + 5x + 6 \\ \\ E(x) = {x}^{2} + 2x + 3x + 6 \\ \\ E(x) = x( \frac{ {x}^{2} }{x} + \frac{2x}{x}) + 3( \frac{3x}{3} + \frac{2 \times 3}{3}) \\ \\ E(x) = x( {x}^{2 - 1} + 2) + 3(x + 2) \\ \\ E(x) = x(x + 2) + 3(x + 2) \\ \\ E(x) = (x + 2)( \frac{x(x + 2)}{x + 2} + \frac{3(x + 2)}{x + 2}) \\ \\ E(x) = (x + 2)(x + 3)$