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)

$6x^2+x-2$