Start with this:
____________
2x-5)18x²-29x-40
2x divided into 18x² gives 9x, so write 9x over the -29x
9x
2x-5)18x²-29x-40
Multiply the 9x by the 2x, get 18x², so write 18x² under the 18x²
9x
2x-5)18x²-29x-40
18x²
Multiply the 9x by the -5, get -45x, so write -45x under the -29x
9x
2x-5)18x²-29x-40
18x²-45x
Draw a line under the 18x²-45x
9x
2x-5)18x²-29x-40
18x²-45x
Subtract (18x²-29x)-(18x²-45x) = 18x²-29x-18x²+45x = 16x, so write
16x under the -45x
9x
2x-5)18x²-29x-40
18x²-45x
16x
Bring down the -40 and write it beside the 16x
9x
2x-5)18x²-29x-40
18x²-45x
16x-40
2x divided into 16x gives +8, so write +8 over the -40 at the top beside the 9x
9x+ 8
2x-5)18x²-29x-40
18x²-45x
16x-40
Multiply the +8 by the 2x, get 16x, so write 16x under the 16x
9x+ 8
2x-5)18x²-29x-40
18x²-45x
16x-40
16x
Multiply the +8 by the -5, get -40, so write -40 under the -40.
9x+ 8
2x-5)18x²-29x-40
18x²-45x
16x-40
16x-40
Draw a line under the 16x-40
9x+ 8
2x-5)18x²-29x-40
18x²-45x
16x-40
16x-40
Subtract (16x-40)-(16x-40) = 16x-40-16x+40 = 0 so write
0 under the -40
9x+ 8
2x-5)18x²-29x-40
18x²-45x
16x-40
16x-40
0
Since there is a remainder of 0, the correct answer is the
quotient at the top.
Answer: The other factor is 9x+8
Edwin
