12x^(3)-7x^(2)+19

which one of the following sets has elements as odd positive integers (a) S={x in R|x^(3)-8x^(2)+19x-12=0} b) S={x in R|x^(3)-9x^(2)+23x-15=0} c) S={x in R|x^(3)-7x^(2)+14x-8=0} d) S={x in R|x^(3)-12x^(2)+44x-48=0}

Evaluate the following integrals: int(5x^(4)+12x^(3)+7x^(2))/(x^(2)+x)dx

Evaluate: (i) int(x^(5)+x^(-2)+2)/(x^(2))dx (ii) int(5x^(4)+12x^(3)+7x^(2))/(x^(2)+x)dx

12x^(2)-7x+1

12x - [3x^(2) + 5x^(2) - {7x^(2) - (4 - 3x - x^(3)) + 6x^(3)}-3x]

What must be added to x^(3)-3x^(2)-12x+19 so that the result is exactly divisibly by x^(2)+x-6?

A common factor of x ^(4) - 256, x ^(3) - 4x ^(2) + 3x - 12 and x ^(2) - 7x + 12 is