Divide the expression :

`( x^4 - 3x^2 + 4x + 5 )/( x^2-x + 1 ) `

divide x^4-3x^2+4x+5 by x^2+1-x

Divide x^4-x^3-3x^2+4x+5 by x^2-x+1

Divide the polynomial (4x^(2) + 4x + 5) by (2x + 1) and write the quotient and the remainder.

Show that (2x + 1) is a factor of the expression f(x) = 32x^(5) - 16x^(4) + 8x^(3) + 4x + 5 .

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

if X is real,then the maximum and minimum values of the expression (x^(2)-3x+4)/(x^(2)+3x+4) will be