" (iii) "x^(2)-3x+1,x^(5)-4x^(3)+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

Evaluate: lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16) .

If the order of ax^(5) + 3x^(4) + 4x^(3) + 3x^(2) + 2x +1 is 4 then a = …………..

What should be added to x^(2)-x^(2) -x+1 to get 5x^(2) -4x^(2) +3x -1 ?

What should be added to x^(2)-x^(2) -x+1 to get 5x^(2) -4x^(2) +3x -1 ?

The remainder when x^(5) - 2x^(4) + 4x^(3) + 3x^(2) + 5x - 7 is divided by x - 1 is

Evaluate the following limits : Lim_(x to 1) (x^(4) - 3x^(3) +2)/(x^(3)-5x^(2)+3x+1)

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

lim_(x rarr1)(x^(4)-3x^(2)+2)/(x^(3)-5x^(2)+3x+1)

lim_(x rarr1)((x^(4)-3x^(2)+2)/(x^(3)-5x^(2)+3x+1))