How do you divide 9x4x26x2x3x1?

1 Answer
Aug 1, 2018

9x4x26x2x3x1=3x3+23x223x3x1

Explanation:

We ask how many times the leading term of the denominator goes into each part of the numerator and then factor that out. The leading term of the bottom is 3x, so we start with 9x4
9x43x=3x3
so
3x3(3x1)+3x3=9x4

We can repeat this and get the following:
9x4x26x2x3x1=3x3(3x1)+2x26x2x3x1

=3x3+23x(3x1)+23x6x2x3x1

=3x3+23x223x3x1