Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

I'll just factor the above equation.

x² + 18x + 80

x² ⇒ x * x

80

can be:

1 x 80

2 x 40

4 x 20

5 x 16

8 x 10 Correct pair

(x+8) (x+10)

x (x+10) + 8 (x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80

x+8 = 0

x = - 8

x+10 = 0

x = - 10

x = - 8

(-8) ² + 18 (-8) + 80 = 0

64 - 144 + 80 = 0

144 - 144 = 0

0 = 0

(-10) ² + 18 (-10) + 80 = 0

100 - 180 + 80 = 0

180 - 180 = 0

0 = 0

I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.