Question 980621
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x³+7x²+1x+7

We factor x² out of the first two terms
We factor +1 out of the last two terms

x²<font color="red"><b>(x+7)</b></font>+1<font color="red"><b>(x+7)</b></font>

Now there are only 2 terms.

We notice that <font color="red"><b>(x+7)</b></font> is a common factor of both
those terms, so we factor out <font color="red"><b>(x+7)</b></font>

<font color="red"><b>(x+7)</b></font>(x²+1)

Edwin</pre></font>