Respuesta :

Edufirst
Algebra tiles might not be a good tool to use to factor the polynomial x^2 + 18x  + 80 because you would need too many tiles and a large space to place them.

The algebra tiles procedure consists on using tiles to represent each kind of term: x^2, x and unit

It is easy to factor an expression like x^2 + 3x + 2 because you can do it placing one positive x^2 tile in the upper left corner, two x tiles on the right side of the x^2 tile, one x tile below the x^2 tile, and two unit tiles in the bottom right corner, since the factored expression is (x + 1)(x + 2).

But the factored expression of x^2 + 18x + 80 is (x + 10)(x + 8): 10 + 8 = 18 and 10 * 8 = 80.

Those factors means that the rectangle to be formed would need you to place one positive x^2 in the upper left corner, 10 x tiles on the right side of the x^2 tile, 8x tiles below the x^2 tile, and 80 unit tiles to fill the rectangle. That is not practical.

Sample Response: Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

Otras preguntas