" b) "3x^(2)-4x+15

Solve the follwing inequations by algebric and graphical methods. i) x^(2) – 8x + 15 gt 0 ii) 2x^(2) + 3x – 2 lt 0 iii) x^(2) - 4x + 5 gt 0 iv) 15x^(2) + 4x – 5 le 0

Divide 10x^(3) + 41x^(2) - 4x - 15 by 5x + 3 .

Evaluate the following limits, if they exist : lim_(x to 3)(x^(3)-4x-15)/(x^(3)+x^(2)-6x-18) .

If f(x) = 6x^(4) + 8x^(3) + 17x^(2) + 21x + 7 is divided by g(x) = 3x^(2) + 4x +1 , the remainder is ax + b . Find a and b.

lim_(x to 3)(x^(3)-4x-15)/(x^(3)+x^(2)-6x-18)=…………………