Question

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

Answer 1

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.

Answer 2

Algebra tiles are used to factorize a polynomial. The factorization of the given trinomial will be very difficult to perform using the algebra tiles due to the large number of tiles used.

The given quadratic polynomial or trinomial is $x^2 + 18x + 80$.

The algebra tiles required to solve the given trinomial are,

• 1 x-squared tile.
• 18 x-tiles.
• 80 unit tiles.

So, the total number of times required will be 1+18+80 or 99 tiles.

Now, it will be very difficult to drag or arrange so many tiles on the board. Also, the space could be a problem in this case.

Therefore, the factorization of the given trinomial will be very difficult to perform using the algebra tiles due to a large number of tiles used.

For more details, refer to the link:

https://brainly.com/question/16865029