Algebra

There are 2 ways to do the problem. 

 

First, we could take a look at all the possible conbinations we could have to give us x^2. 

 

First off, we have 8x*x = 8x^2. 

Next, we have 7x*x=x^2

Lastly, we have x^2*1 = x^2

 

Adding all the coefficients up, we get \(8+7+1=16\)

 

We could also just factor it, which isn't reccomended, but we get

\(x^{7}+4x^{6}+4x^{5}+19x^{4}+19x^{3}+16x^{2}+16x+1\)

 

Which shows the coefficient of x^2 is 16. 

 

So our final answer is 16

 

Thanks! :)