[" 1."[" 1."991$5" fan "174" frifer "," if "9949],[" (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))]],[" (iii) "x^(4)+3x^(3)+3x^(2)+x+1]

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

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) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

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

If x=3+2sqrt(2) , find : (i) (1)/(x) (ii) x-(1)/(x) (iii) (x-(1)/(x))^(3) (iv)x^(3)-(1)/(x^(3))