" 2."p(x)=x^(3)+3x^(2)+2x+1,quad g(x)=x+2

Divide p(x) by g(x) and find the quotient and remainder : p(x)=x^(3)-3x^(2)+5x-3,quad g(x)=x^(2)-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) - 5 x + 6 g(x) = 2 - x^(2)

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and reminder in each of the following. (i) p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2

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: p(x) = x^3 + 3x^2+ 3x + 1, g(x) = x + 2