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.
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:
__I 1 0 2 -3
2 4 12
1 2 6 9