Originally Posted by
Mr Rayon The remainder when x^2 - 3x + 1 is divided by (x + d) is 11. Find the possible values of d.
Since the divisor is x + d, then the zero (when doing the synthetic division) is -d. So do the synthetic division:
Code:
-d | 1 -3 1
| -d d^2+3d
+------------------
1 -d-3 d^2+3d+1
Set the remainder equal to the given value:
. . . . .
This rearranges as:
. . . . .
Either factor the quadratic and then solve the factors for the values of d, or else plug the above into the Quadratic Formula.