The area of a rug, which is shaped like a rectangle, is 4x²+4x square feet. Factor this polynomial to find expressions for the dimensions of the rug

The dimensions of the rug would be 4x and x+1.

To factor this, we take out the GCF. The larges factor that both coefficients have in common is 4. Both factors also have an x, so we factor both out:

4x ()

Taking 4x out of 4x² leaves x:

4x (x)

Dividing 4x by 4x leaves 1:

4x (x+1)