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Question
Polynomial Division and Remainder and Factor Theorems
x2=(squared)x3=(cubed) ILL PUT THE NUMBERS THAT ARE CUBED OR SQUARED IN //

Divide:

1.) x/2/-x+3        2.) 9z-z/2/       3.)6u/2/+7u+5
  --------        -----------    --------------
    x+1          z-3          3u-1


4.)z/3/+3z/2/-13z+6  5.) 2x/3/-4x/2/-7x+5    6.)3x/3/-2x/2/+x+4
----------------      ----------------      -----------------
     z-2          x-3          x+1



7.)2u/4/-5u/3/-12u/2/+2u-8     8.)y/4/-4y/2/+y+4
   ---------------------    --------------------
         u-4          y-2

9.)  x/6/-1          
 -----------
     x+1

Use synthetic substitution to find P(c) for the given polynomial P(x) and the given number x:

10.)P(x) = 4x/3/ - 2x/2/ + x - 1; c = -0.5
11.)P(x) = x/3/ + 4x/2/ - 8x - 6; c = -5
12.)P(x) = 1 - 7x - 4x/2/ + x/3/; c = 6
13.)P(x) = 6x/3/ - x/2/ + 4x + 3;c = -1/3

Answer
write x squared x^2 and x cubed x^3
1) x-2 with a remainder of 5
2) -z with a remainder of 6z
3) 2u+3 with a remainder of 8
4) z^2+z-11 with a remainder of -16
5) 2x^2+2x-1 with a remainder of 2
6) 3x^2-5x+4
7) 2u^3+3u^2+2
8) y^3+2y^2+1 with a remainder of 6
9) x^5-x^4+x^3-x^2+x-1
10)P(-0.5) = 4(-0.5)^3-2(-0.5)^2+(-0.5)-1 = -2.5
11) 9
12) 31
13) 4/3

Algebra

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