Question

when a polynomial p(x) is divided by g(x)= x+2 the quetent and remainder obtain 2x-1 and 3 respectively find p( x)​

Answer 1

We know that ,

p(x)= g(x)* q(x)+ r(x)

= (x + 2)* (2x -1) + 3

=2x^2 -x +4x -2 +3

= 2x^2 +3x +1