(i)5x^(2)-3x-220

Show that Lt_(xto-2)((x^(5)+2x^(4)+x^(2)+3x+2)/(x^(4)+2x^(3)+3x^(2)-5x-22))=-3/5

lim_(x rarr-2)((x^(5)+2x^(4)+x^(2)+3x+2)/(x^(4)+2x^(3)+3x^(2)-5x-22))=

(2x^(2)+8x^(3)+11x-12)-(-5x^(2)-2x-13x^(3)-2)+(-4+2x-3x^(2)-5x^(3))

Simplify: (x^(2)-3x+2)(5x-2)-(3x^(2)+4x-5)(2x-1)

Divide 3x^(4)-5x^(3)-2x^2-8x+3 by x^(2)+5x+3

(5x^(2)-3x+4)/((x+1)(x^(2)-5x+6))=

Evaluate lim_(x rarr 2) [(x^(2) - 5x + 6)/(x^(2) - 3x + 2)] .

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

Using remainder theorem, find the remainder when : (i) x^(3)+5x^(2)-3 is divided by (x-1) " " (ii) x^(4)-3x^(2)+2 is divided by (x-2) (iii)2x^(3)+3x^(2)-5x+2 is divided by (x+3) " " (iv) x^(3)+2x^(2)-x+1 is divided by (x+2) (v) x^(3)+3x^(2)-5x+4 is divided by (2x-1) " " (vi) 3x^(3)+6x^(2)-15x+2 is divided by (3x-1)

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