How do you factor #3x^2 - 9x + 10#?

1 Answer
Alan P.
May 7, 2015

#3x^2-9x+10# has no proper factors.

To see this note that there are no common factors of the 3 terms of this expression (other than #+-1#); so it can't be simplified in this way.

Second, consider the discriminant of this expression:
#Delta = b^2-4ac#
#=81-120#
#<0#
So #3x^2-9x+10=0# has no real solutions
#rarr 3x^2-9x+10# can not be factored into anything of the form:
#(ax+b)(cx+d)#

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