" 3."p(x)=x^(3)-6x^(2)+9x+3,g(x)=x-1

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=x^(3)-6x^(2)+9x+3,g(x)=x-1 .

Find quotient and remainder p(x)=x^(3)-6x^(2)+9x+3,g(x)=x-1

Verify the division algorithm for the polynomials p(x)=2x^(4)-6x^(3)+2x^(2)-x+2andg(x)=x+2 . p(x)=2x^(3)-7x^(2)+9x-13,g(x)=x-3 .

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=2x^(3)-7x^(2)+9x-13,g(x)=x-3 .

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=x^(3)-6x^(2)+2x-4,g(x)=1-(3)/(2)x .

Using the remainder theorem , find the remainder , when p (x) is divided by g (x) , where p(x)=2x^(3)-9x^(2)+x+15 , \ g(x)=2x-3 .

Use the factor theorem, to determine whether g(x) is a factor of p(x) in each of the following cases : (i) p(x)=2x^(3)+x^(2)-2x-1,g(x)=x+1 (ii) p(x)=x^(3)+3x^(2)+3x+1,g(x)=x+2 (iii) p(x)=x^(3)-4x^(2)+x+6,g(x)=x-3

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= x^(3)-3x^(2)+6x-20 g(x)= x-2

f(x)=2x^(3)-9x^(2)+x+12,g(x)=3-2x

BY Remainder theorem , find the remainder when p(x) is divided by g(x) (i) p(x) =x^(3)-2x^(2)-4x-1, g(x)=x+1 (ii) p(x) =x^(3)-3x^(2)+4x+50, g(x) =x-3