Question

What is the sum of the polynomial addition modeled by the algebra tiles ?

Answer 1

Answer: A

`6x^2+x-2`

Step by Step solution:

We can start by counting the tiles with the same terms, then we have:

• 6 tiles:

`+6\cdot x^2`

• 6 tiles:

`+6\cdot x`

• 1 tile: +1

• 5 tiles:

`+5\cdot(-x)`

• 3 tiles: 3 * (-1)

We add all the tiles together:

`\begin{gathered} 6\cdot x^2+6x+1+5(-x)+3\cdot(-1) \\ 6x^2+6x+1-5x-3 \end{gathered}`

Add the similar terms: (6x - 5x) and (1 - 3)

`6x^2+x-2`