Let a and b real numbers such that x^4+2x^3-4x^2+ax+b = (Q(x))^2 for some polynomial Q(x). What is the value of a + b?
\((Q(x))^2=x^4+2x^3-4x^2+ax+b \)
Q(x) will have degree 2 and a leading coefficient of +1 or -1
let
\(Q(x)=\pm(x^2+mx+n)\\ (Q(x))^2=?\)
do the multiplication and then equate the co-efficients.
etc
