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 \(-x^2\) terms

There are 5 tiles of \(-x^2\), so total for \(-x^2\) is \(5\times(-x^2)= -5x^2\).

Step2: Count \(x\) terms

There are 4 tiles of \(x\), so total for \(x\) is \(4\times x = 4x\).

Step3: Count constant terms

There are 2 tiles of \(1\), so total for constants is \(2\times1 = 2\).

Step4: Combine like terms

Add the terms together: \(-5x^2 + 4x + 2\).

Answer:

\(-5x^2 + 4x + 2\)