Janelle wants to enlarge a square graph that she has made so that a side of the new graph will be 1 inch more than twice the original side g.

Question

Please tell me what trinomial represents the area of the enlarged graph.

Answer 1

If the original square is x by x units, then the new one would be (2x + 1) by (2x + 1)  "one more than twice the original"

 

We can find the area of the new enlarged square by multiplying (2x+1)(2x+1) in whatever way you've learned it in class.  FOIL, box method, distribution...  You should end up with 4 terms, and then be able to combine two of them so you end up with a trinomial.