(x^(3)+2x^(2)-2x+3)/(x^(3)-8x+3)

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

Evaluate lim_(x to 2) (x^(3) - 3x^(2) + 4)/(x^(4) - 8x^(2) + 16)

Find the quotient and remainder of the following using synthetic division: (i) (x^(3) +x^(2) -7x-3) +(x-3) (ii) (x^(3) +2x^(2) -x-4) +(x+2) (iii) (3x^(3) -2x^(2) +7x -5) +(x+3) (iv) (8x^(4) -2x^(2) +6x +5) +(4x+1)

lim_(x rarr2)(x^(3)-3x^(2)+4)/(x^(4)-8x^(2)+16)

Evaluate the following limits : Lim_(xto3) (x^(3)-8x^(2)+45)/(2x^(2)-3x-9)

Simplify : 15x-[8x^(2)+3x^(2)-{8x^(2)-(4-2x-x^(3))-5x^(3)}-2x]

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))