SOLUTION: Use the remainder theorem to find which of the following is not a factor of x^3 + 12x^2 + 47x + 60. a. x+5 b. x+4 c. x+3 d. x+2

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Question 803767: Use the remainder theorem to find which of the following is not a factor of
x^3 + 12x^2 + 47x + 60.
a. x+5 b. x+4 c. x+3 d. x+2
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
x^3 + 12x^2 + 47x + 60.
a. x+5,  use the opposite sign -5    

Let's see if x+5 is the one that's not a factor.

-5|1   12   47   60
  |    -5  -35  -60
   1    7   12    0

No, that leaves a remainder of 0

-------------------------------------

b. x+4,  use the opposite sign -4    

Let's see if x+4 is the one that's not a factor.

-4|1   12   47   60
  |    -4  -32  -60
   1    8   15    0

No, that leaves a remainder of 0.

-------------------------------------

c. x+3,  use the opposite sign -3    

Let's see if x+3 is the one that's not a factor.

-3|1   12   47   60
  |    -3  -27  -60
   1    9   20    0

No, that leaves a remainder of 0

-------------------------------------

d. x+2,  use the opposite sign -2    

Let's see if x+2 is the one that's not a factor.

-2|1   12   47   60
  |    -2  -24  -46
   1   10   23   14

Yes, that does not leave a remainder of 0,
so x+2 is not a factor.

Edwin
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