MATH125

Find    $\frac{x^3+4x^2+x-6}{x-1}$  

•  $x^2+5x+6$  

•  $x^2+5x-6$  

•  $x^2+5x+6-\frac{8}{x-1}$  

•  $x^2-5x+8$  

 $\frac{2x^3-5x^2+5x+4}{2x+1}$  

•  $x^2+3x+4$  

•  $x^2-3x-4$  

•  $x^2-3x+4$  

•  $2x^2-3x-4$  

 $\frac{x^3-6x^2+11x-6}{x-1}$  

•  $x^2-5x+6$  

•  $x^2+5x-6$  

•  $x^2+5x+6$  

•  $x^2-5x-6$  

 $\frac{2a^3-7a^2-a+2}{a^2-3a-2}$  

•  $2a+1$  

•  $2a-1$  

•  $a+1$  

•  $a-1$  

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

• -10

• -5

• 10

• 5

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

• a = 4, b = 1

• a = 3, b = 1

• a = 4, b= 2

• a = -4, b = -1

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.

•  5

• 3

• -5

• 4

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.

• a = 3, b = 5

• a = -3, b = -5

• a = -5, b = -3

• a = 5, b = 3