Which expression is the factored form of x2 – 7x + 10?
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,
111✔ 24264
Choose the values of a and b that represent the factored form of w2 – 11w + 18.
Which equivalent four-term polynomial can be created using the X method?
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
Which expressions are perfect square trinomials? Check all that apply.x2 + 16x + 8x2 + 14x + 49 x2 – 5x + 25x2 – 24x + 144 x2 + 9x – 81
The trinomial x2 + bx + c factors to (x + m)(x + n). If b is negative and c is positive, what must be true about m and n?
Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.
Algebra tiles would not be a good tool because the numbers in the trinomial are quite large. Factoring x^2 + 18x + 80 would require one x^2 tile, 18 x-tiles, and 80 unit tiles, for a total of 99 tiles. Managing and arranging that many tiles into a rectangle would be time-consuming and difficult to fit in a workspace.
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