SOLUTION: Using synthetic division, what is the quotient and the remainder when (2x^3-3x+1) is divided by (x+1)? I tried this one myself too, but I came up with 2x^2+3+6/x-1 and that's ap

Algebra ->  Exponents -> SOLUTION: Using synthetic division, what is the quotient and the remainder when (2x^3-3x+1) is divided by (x+1)? I tried this one myself too, but I came up with 2x^2+3+6/x-1 and that's ap      Log On


   

Question 1092148: Using synthetic division, what is the quotient and the remainder when (2x^3-3x+1) is divided by (x+1)?
I tried this one myself too, but I came up with 2x^2+3+6/x-1 and that's apparently wrong... If somebody could place some solutions with this please, that'd be great, thank you.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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Using synthetic division, what is the quotient and the remainder when (2x^3-3x+1) is divided by (x+1)?
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-1    |     2      0     -3     1
      |
      |           -2     2     1
      |_______________________________
            2     -2     -1     2

QUOTIENT: 2x%5E2-2x-1
REMAINDER: 2

Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.
The remainder is the value of the polynomial at x= -1, i.e.

2*(-1)^3 - 3*(-1) + 1 = 2*(-1) + 3 + 1 = -2 + 3 + 1 = 2.

It can not be  6,  as @josgarithmetic states // stated in his original version . . . which he quickly and untraceably replaced after my notice.


His solution was   W R O N G ,    a s    u s u a l.