+981 Find g(x), with terms in order of decreasing degree, if we have that \(8x^4-7x^2+8x-7+g(x)=x + 1.\)
+500 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!
