[" (i) "x^(3)+x^(2)+x+1],[" (iii) "x^(4)+3x^(3)+3x^(2)+x+1]

Determine which of the following polynomials has (x+1) a factor : (i) x^(3)+x^(2)+x+1 (ii) x^(4)+x^(3)+x^(2)+x+1 (iii) x^(4)+3x^(3)+3x^(2)+x+1 (iv) x^(3)-x^(2)-(2+sqrt(2))x+sqrt(2)

factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii) x^(3)+x^(2)-4x-4 (iv) 3x^(2)-x^(2)-3x+1

Check whether the first polynomial is factor of Second polynomial by dividing: t^2-3,2t^(4)+3t^(3)-2t^(2)-9t-12 (ii) x^(2)+3x+1,3x^(4)+5x^(3)-7x^(2)+2x+2 (iii) x^(3)-3x+1,x^(5)-4x^(3)+x^(2)+3x+1

Determine which of the following polynomials has (x+1) a factor. (i) x^3+x^2+x+1 (ii) x^4+x^3+x^2+x+1 (iii) x^4+3x^3+3x^2+x+1 (iv) x^3-x^2-(2+sqrt2)x+sqrt2

Determine which of the following polynomials has (x+1) a factor.(i) x^3+x^2+x+1 (ii) x^4+x^3+x^2+x+1 (iii) x^4+3x^3+3x^2+x+1 (iv) x^3-x^2-(2+sqrt(2))x+sqrt(2)

Determine which of the following polynomials has (x+1) a factor. (i) x^3+x^2+x+1 (ii) x^4+x^3+x^2+x+1 (iii) x^4+3x^3+3x^2+x+1 (iv) x^3-x^2-(2+sqrt(2))x+sqrt(2)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)