Question

Depress the quartic x^4 - 4x^3 + 2x^2 + 4x + 4 into w^4 - 4w^2 + 7

Answer 1

let x = w-1

x^4-4x^3+2x^2+4x+4
= (w+1)^4 - 4(w+1)^3 + 2(w+1)^2 + 4(w+1) + 4
...