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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.

 

 Aug 19, 2020
 #1
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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

 Aug 20, 2020

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