MATH125

Find    $\frac{x^3+4x^2+x-6}{x-1}$  

 $\frac{2x^3-5x^2+5x+4}{2x+1}$  

 $\frac{x^3-6x^2+11x-6}{x-1}$  

 $\frac{2a^3-7a^2-a+2}{a^2-3a-2}$  

Find the value of  $a$   if  $x-1$  is a factor of  $x^3+x^2+ax+8$  

Find the values of a and b so that $x^3+ax^2+bx-6$  is divisible by  $x-1$  and  $x+2$  .

When $x^3+2x^2+px-3$  .is divided by  $x+1$  the remainder is the same as when it is divided by  $x-2$  . Find the value of p.

When $2x^3-x^2+ax+b$  is divided by  $x-2$  the remainder is 25. When divided by  $x+1$  the remainder is -5. Find the values of a and b.