" (i) "(4x-5x^(2)+6x^(3))/(2x)

(5x^(2)-4+6x^(3))-:(-2+3x)

Evaluate Lt {x rarr oo} (3x ^ (3) -4x ^ (2) + 6x-1) / (2x ^ (3) + x ^ (2) -5x + 7)

simplify: (i) 2p^(3) - 3p^(2) + 4p - 5- 6p^(3) + 2p^(2) - 8p - 2 + 6p + 8 (ii) 2x^(2) - xy + 6x - 4y + 5xy - 4x + 6x^(2) + 3y (iii) x^(4) - 6x^(3) + 2x - 7 + 7x^(3) - x + 5x^(2) + 2 - x^(4)

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)

For what values of x in R , the following expressions are negative i) -6x^(2)+2x -3 ii) 15+4x-3x^(2) iii) 2x^(2)+5x -3 iv) x^(2)-7x+10

Evaluate : underset(xrarroo)"lim"(4x^(3)-3x^(2)+6x-2)/(3+5x^(2)+5x^(3))

What is the HCF of 36(3x^(4)+5x^(3)-2x^(2)) , 9(6x^(3)+4x^(2)-2x),54(27 x^(4)-x) ?

Prove that, lim_(xtooo)(4x^(3)-5x^(2)+6x+9)/(3x^(4)+4x^(2)-11)=0