[" 11."p(x)=2x^(3)+3x^(2)-11x-3,g(x)=(x+(1)/(2))],[" 12."p(x)=x^(3)-ax^(2)+6x-a,g(x)=x-a]

f(x)=x^(3)-6x^(2)+11x-6;g(x)=x-3

f(x)=x^(3)-6x^(2)+11x-6,g(x)=x^(2)-3x+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 : (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) (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

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(-1)

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(3)-5x^(2)+4x-3,g(x) =x-2. (ii) p(x) =2x^(3)-11x^(2)-4x+5,g(x)=2x+1

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)