Find g(x), with terms in order of decreasing degree, if we have that \(8x^4-7x^2+8x-7+g(x)=x + 1.\)

qwertyzz Mar 21, 2020

#2**+1 **

Hey there qwerty! First, this is just some basic rearranging. We subtract on both sides, to get:

\(g(x) = x+ 1 -8x^4 +7x^2 -8x +7\)

Next, let's collect like terms and rearrange it in order of **decreasing degree**. What that means is that the highest "power" goes to the leftmost of the equation, with the lowest(the 0th power) degree going to the right. We then get:

\(g(x) = -8x^4+7x^2-7x+8\) as our final answer!

jfan17 Mar 21, 2020