Exercise
Do long division:
\frac{2x^9-7x^8+6x^7-25x^6+24x^5+14x^4-19x^3-20x^2+70}{24x^4-7x^3+10}
Final Answer
Solution
Here is the long division:
This is the result of the long division:
\frac{2x^9-7x^8+6x^7-25x^6+24x^5+14x^4-19x^3-20x^2+70}{24x^4-7x^3+10}=
x^5+3x^3-2x^2+7
We can also present it like this:
2x^9-7x^8+6x^7-25x^6+24x^5+14x^4-19x^3-20x^2+70=
=(24x^4-7x^3+10)(x^5+3x^3-2x^2+7)
Note: it is exact division with no remainder.