`(3x + 2x^2 + 4x^3) / (x-4)`

Simplify each of the following x(x + 4) + 3x (2x^(2) - 1) + 4x^(2) + 4

If f (x) = (x ^(2) - 3x +4)/(x ^(2)+ 3x +4), then complete solution of 0lt f (x) lt 1, is :

((4x-3) / (2x + 1))-10 ((2x + 1) / (4x-3)) = 3, x! =-1/2, 3/4

lim_(x to 2) (x^(3) + x^(2) + 4x + 12)/(x^(3) - 3x + 2) is equal to

Find the HCF of f(x)=33 (2x + 3)^(2) (3x-4)^(3) (4x-5)^(4) and g(x)= 22 (x+1) (2x + 3) (4x-5)^(2) (4x^(2)-9)

on dividing a polynomial p(x) by x^2 - 4, quotient and remainder are found to be x and 3 respectively. the polynomial p(x) is a) 3 x^2 +x -12 b) x^3 -4x +3 c) x^2 +3x-4 d) x^3 -4x-3

Evaluate lim_(x to 0) [(3x^(2) + 4x + 5)/(x^(2) - 2x + 3)]