Question: In Example 2, set the given expression equal to B and then solve for a. Data from Example 2 Factor: 4ax 2 + 2ax. The

In Example 2, set the given expression equal to B and then solve for a.


Data from Example 2

Factor: 4ax2 + 2ax.

The numerical factor 2 and the literal factors a and x are common to each term. Therefore, the greatest common factor of 4ax2 +  2ax is 2ax. This means that 4ax2 + 2ax = 2ax(2x) + 2ax(1) = 2ax(2x  + 1)

Note the presence of the 1 in the factored form. When we divide 4ax2 + 2ax by 2ax, we get

4ax2 + 2ax 2ax = 4ax2 2ax + 2ax 2ax 2x +

4ax2 + 2ax 2ax = 4ax2 2ax + 2ax 2ax 2x + 1 +

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