Question

dados os polinômios p(x) =x2-4x+3,e q(x) =-2x+4 e(x) =2 x 3-4x+5 calcule q(x)-p(x)

Answer 1

$p(x)=x^2-4x+3\qquad\qquad\qquad\qquad{q}(x)=-2x+4\\\\\\q(x)-p(x)=\ ?\\\\(-2x+4)-(x^2-4x+3)\Longrightarrow(-2x+4)-x^2+4x-3\Longrightarrow\\\\-2x+4-x^2+4x-3\Longrightarrow-x^2-2x+4x+4=\boxed{-x^2+2x+4}$