Ms. wilson draws a model of the factorization of a polynomial with integer factors. her model is partially complete.

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.

Step-by-step explanation:

A block of ice loses one third of its weight every hour. After 2 hours, the block weighs 40 pounds. How much did the block weigh to begin with? ... x - x/3 - (1/3)(x/3) = 40lb |loses one third of its weight every hour. Solving for x x - x/3 - x/9 = 40 9x - 3x - x = 360 5x = 360 x = 72lbs, original weight of the block