Lesson 5: More To Explore Solutions

x + 1 x^{2} + 7 x + 6

$x^{2} + 7 x + 6 (x + 1) (x + 6)$

$x + 1 x + 6 x^{2} + 7 x + 6 - (x^{2} + 1 x) 6 x + 6 - (6 x + 6) 0$

x + 3 x^{2} + 8 x + 15

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

$x + 3 x + 5 x^{2} + 8 x + 15 - (x^{2} + 3 x) 5 x + 15 - (5 x + 15) 0$

2 x + 1 4 x^{2} + 4 x + 1

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

$2 x + 1 2 x + 1 4 x^{2} + 4 x + 1 - (4 x^{2} + 2 x) 2 x + 1 - (2 x + 1) 0$

2 x + 1 4 x^{2} + 10 x + 4

$4 x^{2} + 10 x + 4 (2 x + 1) (2 x + 4)$

$2 x + 1 2 x + 4 4 x^{2} + 10 x + 4 - (4 x^{2} + 2 x) 8 x + 4 - (8 x + 4) 0$