Px x32x1 Dxx3 put in form PxDxQxRxDxSolutionPxx32x1 Dxx3 On

P(x)= x^3+2x-1 D(x)=-x+3

put in form:

P(x)/D(x)=Q(x)+(R(x)/D(x)

Solution

P(x)=x³+2x-1

D(x)=-x+3

On dividing them,we get quotient Q(x)=-x² -3x-11

And remainder ,R(x)=32

Therefore

x³+2x-1=(-x²-3x-11)(-x+3) + 32