+60 What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)?
+1944 There are a few ways you can tackle this problem.
The first way is reccomended. We find that after distributing, how many pairs create a coefficient of x.
We first have x and 14. \(14 \cdot x = 14x\)
Next, we have 1 and -23x. \(1 \cdot -23 = -23x\)
These are the only two ways to achieve x. Now, we simply add then up.
\(14x - 23x = -9x\)
Orrrrrrrrrrrrrrrrrrrrrrrrrrr, you can distribibute EVERYTHIG and take 100 years, but here u go :)
\(x^{7}-7x^{6}+10x^{5}-13x^{4}+8x^{2}-9x+14\)
Thanks! :)
