Question

Which of the following polynomials, when subtracted from the polynomial 3 x^2 +8-2x yields a solution of 2x^2 +3x+4 ? 

Answer 1

Answer:

$g(x)=x^2-5x+4$

Step-by-step explanation:

We need to find a polynomial when subtracted from the polynomial $3 x^2 +8-2x$ yields a solution of $2x^2 +3x+4$. Let it is g(x).

ATQ,

$3 x^2 +8-2x-g(x)=2x^2 +3x+4\\\\3 x^2 +8-2x-(2x^2 +3x+4)=g(x)\\\\3 x^2 +8-2x-2x^2-3x-4=g(x)\\\\x^2-5x+4=g(x)$

So, $x^2-5x+4$ must be subtracted from the polynomial $3 x^2 +8-2x$ yields a solution of $2x^2 +3x+4$.