Question

17. (15x+ 14x^2 -40) / ( -2x -5) Dividing Polynomials

Please include an explanation also it would be helpful if not copy and pasted from the internet.

Answer 1

To divide the polynomials (15x + 14x^2 - 40) by (-2x - 5), we can use long division.

The steps are:

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-2x - 5 | 14x^2 + 15x - 40

-14x^2 - 35x

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-20x - 40

-20x - 50

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10

Therefore, (15x + 14x^2 - 40) divided by (-2x - 5) equals (14x - 20) with a remainder of 10. So the complete expression is:

(15x + 14x^2 - 40) / (-2x - 5) = 14x - 20 + 10/(-2x - 5)

or

(15x + 14x^2 - 40) / (-2x - 5) = 14x - 20 - 2/(2x + 5)