SOLUTION: Find the other factors by synthetic division: y= x^3+2x^2-5x-6 given the factor X-1

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Question 373514: Find the other factors by synthetic division:
y= x^3+2x^2-5x-6 given the factor X-1
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
y=+x%5E3%2B2x%5E2-5x-6
Since x-1 is a factor, then (x-1) should divide evenly into x%5E3%2B2x%5E2-5x-6. We will use synthetic division to divide:
1 |  1  2  -5  -6
---     1   3  -2
    -------------
     1  3  -2  -8

The remainder, in the lower right corner, is -8. This means that (x-1) is not a factor of x%5E3%2B2x%5E2-5x-6! (If (x-1) was a factor then the remainder would be zero.) So either the problem was given to you incorrectly or you posted it incorrectly.

If we pretend that we did get a reminder of zero, then the rest of the bottom line represents the other factor. The
1 3 -2
translates into
1x%5E2+%2B+3x+-+2
Then, to find the other factors, we would factor 1x%5E2+%2B+3x+-+2.