" 6."p(x)=2x^(3)-9x^(2)+x+15,g(x)=2x-3

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 .

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

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 .

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

f(x)=9x^(3)-3x^(2)+x-5,g(x)=x-(2)/(3)

Using factor theorem , show that g (x) is a factor of p(x) , when p(x)=2x^(4)+x^(3)-8x^(2)-x+6,g(x)=2x-3

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

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