[" (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]

By remainder theorem , find the remainder when p(x) is divided by g(x) where , (i) p(x) =x^(3) -2x^2 -4x -1 ,g(x) =x+1 (ii) p(x) =4x^(3) -12x^(2) +14x -3,g(x) =2x-1 (iii) p(x) =x^(3) -3x^(2) +4x +50 ,g(x) =x-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+1, g (x) =x+2 (iii) p(x) = x^3-4x^2+x+6,g(x)=x-3

Divide p(x)=x^3+3x^2+3x+1 by g(x)=x+2

divide p(x)=x^3+3x^2+3x+1 by g(x)= x+2

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

Divide p(x) by q(x) p(x)=2x^(2)+3x+1,g(x)=x+2

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

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

Divide P(x)=x^6+3x^2+10 by g(x)=x^3+1