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Modeling Polynomials

Why is…

 

 

 

 

different?

Using Algebra Tiles://

 

=  

To find the answer , I used algebra tiles. If you look at the image the to two long green tile represents . So  x  would make . A with the yellow tile which represents +1, would still be , because they are both positive. And 1 x 1 will equal 1 so the one would stay the same. so the answer would be  .

=    

To find the answer , I used algebra tiles. We already know that a long green tile is    but a long red tile represents  . So we already know that   x   equal . There is a red square that represents -1. So a x -1 equals . And there are two of those. We all know that negative x negative = positive. -1 x -1 = 1. So the answer would be .

=    

I tried to find the answer for with the strategy, algebra tiles. We already know that a long green tile is and that a long red tile represents . So if we look at the picture, x equals . A red square represents -1 so -1 x is . A yellow square represents +1 so +1 x equals . We already know that positive x negative = negative. So +1 x -1 = -1. That is why the answer to this question is .

= 

To find the answer for , we use the algebra tiles. This is a bit different from other questions that we tried to answer. First, x  = . The shaded is the positive. Shaded tile x -1 =, and there are two of those. And we talked about how positive x positive = positive. So +1 x+1 = 1 and the answer of this part would be . And then we use the answer and multiply it with the again because its multiplied 3 times. So now, x = . We know that negative x positive = negative so x -1 = . We know that x = and there are 2 of those. We know that negative x negative = positive. x -1 = and we have 3 of those and we obviously know that +1 x -1 = -1. So the answer of this question would be .