Question

Va rog rapid 5 :) dau coroana.​

Answer 1

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

$b) {x}^{2} + 5x + 4 = {x}^{2} + x + 4x + 4 = x(x + 1) + 4(x + 1) = (x + 1)(x + 4)$

$c) {x}^{2} + 8x + 7 = {x}^{2} + x + 7x + 7 = x(x + 1) + 7( x+ 1) = (x + 1)(x + 7)$

$d) {x}^{2} + 7x + 12 = {x}^{2} + 3x + 4x + 12 = x(x + 3) + 4(x + 3) = (x + 3)(x + 4)$

$e) {x}^{2} + 6x + 8 = {x}^{2} + 2x + 4x + 8 = x(x + 2) + 4(x + 2) = (x + 2)(x + 4)$

$f) {x}^{2} + 8x + 15 = {x}^{2} + 3x + 5x + 15 = x(x + 3) + 5(x + 3) = (x + 3)(x + 5)$

$g) {x}^{2} + 9x + 14 = {x}^{2} + 2x + 7x + 14 = x(x + 2) + 7(x + 2) = (x + 2)(x + 7)$

$h) {x}^{2} + 10x + 21 = {x}^{2} + 3x + 7x + 21 = x(x + 3) + 7(x + 3) = (x + 3)(x + 7)$

$i) {x}^{2} + 6x + 5 = {x}^{2} +x + 5x + 5 = x(x + 1) + 5(x + 1) = (x + 1)(x + 5)$