SOLUTION: Hello! Please help me with this question, I do not understand. Baljit builds a square frame that is 1 inch wider than twice the width of a square frame from the store. He writes

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello! Please help me with this question, I do not understand. Baljit builds a square frame that is 1 inch wider than twice the width of a square frame from the store. He writes      Log On


   



Question 1065135: Hello! Please help me with this question, I do not understand.
Baljit builds a square frame that is 1 inch wider than twice the width of a square frame from the store. He writes the area enclosed by his frame with the polynomial 4x^2+4x+1.
a. Factor the polynomial that Baljit wrote. explain how the factorization yields an expression for the frame Baljit builds.
b. What is a variable expression for the area enclosed by the frame from the store? Explain how you know.
Thank you in advance for your help!

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2Br%29%282x%2Bs%29=4x%5E2%2B4x%2B1
4x%5E2%2B2rx%2B2sx%2Brs
4x%5E2%2B2%28r%2Bs%29x%2Brs

One way to get rs=1 is for r=s=1.


highlight%28%282x%2B1%29%282x%2B1%29%29
4x%5E2%2B2x%2B2x%2B1
4x%5E2%2B4x%2B1