A student performed the division of (x^3 + 2x - 3) divided by (x - 2) using synthetic division. Their work is shown below(picture). Did the student make any mistakes?
A. The student was correct. No mistakes were made.
B. The student should have multiplied the -3 and 8 at the end, not added.
C.The student incorrectly used a positive 2 on the "shelf" instead of a negative 2.
D. The student incorrectly wrote the coefficients of the polynomial.
+998 The correct answer is D) The student incorrectly wrote the coefficients of the polynomial.
Even though there is no x^2 term presented, when performing synthetic division you need to write in a 0 for the missing terms.
The division should have looked like:
2 I
__I 1 0 2 -3
2 4 12
____________________
1 2 6 9
