Create your own factorable polynomial with a gcf. rewrite that polynomial in two other equivalent forms. explain how each form was created.

Consider our polynomial to be
     3x^2 + 9x + 6

Factoring is one way to write our polynomial in an equivalent form. Notice that 3 is a GCF for all the terms. If we divide 3 out of each term of our expression, we can also write our polynomial as 
     3( x^2 + 3x + 2)

Now, we need two numbers whose sum is 3 and whose product is 2. In this case, it would have to be 1 and 2. Therefore we can also write our polynomial in the factored form:
     3(x + 2)(x + 1)

Given :

The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.

To Find :

How many more boxes should they expect to use.

Solution :

We know, 1 ton = 2000 pounds

So, 2 ton = 4000 pounds

Minimum number of boxes required for safe handling :

So, total 160 boxes required.

Therefore, 160 - 50 = 110 many more boxes should they expect to use.

Hence, this is the required solution.