Answer:
[tex]g(x)=x^2-5x+4[/tex]
Step-by-step explanation:
We need to find a polynomial when subtracted from the polynomial [tex]3 x^2 +8-2x[/tex] yields a solution of [tex]2x^2 +3x+4[/tex]. Let it is g(x).
ATQ,
[tex]3 x^2 +8-2x-g(x)=2x^2 +3x+4\\\\3 x^2 +8-2x-(2x^2 +3x+4)=g(x)\\\\3 x^2 +8-2x-2x^2-3x-4=g(x)\\\\x^2-5x+4=g(x)[/tex]
So, [tex]x^2-5x+4[/tex] must be subtracted from the polynomial [tex]3 x^2 +8-2x[/tex] yields a solution of [tex]2x^2 +3x+4[/tex].
