Choice D is correct. Dividing
4x2+6x by
4x+2 gives:
Therefore, the expression
is equivalent to
x+1− Alternate approach: The numerator of the given expression,
4x2+6x, can be rewritten in terms of the denominator,
4x+2, as follows:
4x2+2x+4x+2−2, or
x(4x+2)+(4x+2)−2. So the given expression can be rewritten as
=x+1−Choices A and B are incorrect and may result from incorrectly factoring the numerator and denominator of the expression
and then incorrectly identifying common factors in the two factored expressions. Choice C is incorrect and may result from a variety of mistakes made when performing long division.