Question: In Example 2, change the + sign to and then factor. Data from Example 2 Factor: 4ax 2 + 2ax. The numerical factor 2

In Example 2, change the + sign to − and then factor.


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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