Question

what must be added to the polynomial x^4+2x^3-2x^2-x-2 so that the resulting polynomial is exactly divisible by x^2+2x-3​

Answer 1

Answer:

her is your answers l hope it help you get the answers please make me a Branlist

Answer 2

Solution :

Polynomial Division Method :

$\boxed{\begin{array}{l|n|r}\sf x^2+2x -3& \sf x^4 + 2x^3 - 2x^2 - x - 2 & \sf x^2 + 1\\ & \sf x^4 + 3x^3 -3x^2\\ & (-)\:\:(-)\:\:(+)\\ & \rule{100}{0.8}\\ & \sf \qquad\qquad\quad x^2 -x - 2\\ & \sf \qquad \qquad\quad x^2 + 2x -3 \\ & \qquad\qquad \:\:(-) \:\:(-)\:(+)\\ &\qquad\quad \rule {70}{0.8}\\ & \sf \qquad\qquad \qqaud \sf \:\:\:\:\:\:\:\:\:\:\:\: -3x + 1\end{array}}$

Thus;

3x - 1 must be added to divide completely .