Date: Oct 23, 2012 10:32 AM
Author: Dave L. Renfro
Subject: Re: MIT Math Diagnostic for Physics Placement
Dave L. Renfro wrote (in part):

http://mathforum.org/kb/message.jspa?messageID=7910806

>> Problem B2: Instead of saying "Find all possible values of x which

>> solve the equation x^4 - 13x^2 + 36 = 0", I would be less vague and

>> explicitly ask for all complex solutions.

Robert Hansen wrote (in part):

http://mathforum.org/kb/message.jspa?messageID=7911198

> Doesn't that factor to (x^2 - 9)(x^2 - 4)? -> x = +/-3, +/-2

Using "complex solutions" gives test takers making certain

kinds of errors more rope to hang themselves with, although

personally I consider something like x = +/- 3i, +/- 2i to

be better than something like x = +/-9, +/-4, which in turn

is better than something like x = +/-13, +/-36. Ideally, I'd

want to see their work, but in the absence of that, for a

total of 5 points for this problem, I might give 3 points

for x = +/- 3i, +/- 2i and 1-2 points for x = +/-9, +/-4.

Note that even x = +/-9, +/-4 suggests they correctly factored

and they recognized there will be two pairs of solutions.

Dave L. Renfro