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Polynomial Long Division – Exercise 5668

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


x^5+3x^3-2x^2+7

Solution

Here is the long division:

long division 3

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.

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