Question

what expression does this set of algebra tiles represent? combine like terms. for example, write 3 instead of 1 + 1 + 1.

Explanation:

Step1: Count \(-x^2\) tiles

There are 8 tiles of \(-x^2\), so the term is \(8\times(-x^2)= -8x^2\).

Step2: Count \(x\) tiles

There are 6 tiles of \(x\), so the term is \(6x\).

Step3: Count constant (1) tiles

Count the yellow 1 - tiles: \(3 + 3+ 2=8\), so the constant term is \(8\).

Step4: Combine like terms

Combine the three terms: \(-8x^2 + 6x + 8\).

Answer:

\(-8x^2 + 6x + 8\)