`(2x^(2)+8x^(3)+11x-12)-(-5x^(2)-2x-13x^(3)-2)+(-4+2x-3x^(2)-5x^(3))`

Simplify: 4x^(3)-2x^(2)+5x-1+8x+x^(2)-6x^(3)+7-6x+3-3x^(2)-x^(3)

List of the like terms in the following expression. (i) 4x^(4),-7x^(3),8x^(2),12x^(3),-9x^(4),-5x,4x^(3),12x^(2) (ii) 5xy,-3x^(2)y,2xy^(3),-2x^(2)y^(2),5x^(2)y,-3xy,6x^(2)y^(2)

Solve(8x^(2)+16x-51)/(2x^(2)+5x-12)>3

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

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

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(3)