Question 732010
you want to divide 4x^2 - 15 by (2x - 5)

you need to fill in the missing orders of exponents.

when you do that, your equation you are dividing into will be equal to:

4x^2 + 0x - 15

you want to divide that by (2x - 5)

you start by dividing 2x into 4x^2 to get 2x because 2x * 2x = 4x^2

you then multiply (2x - 5) by 2x to get 4x^2 - 10x

you then subtract 4x^2 - 10x from 4x^2 + 0x - 15 to get 10x - 15

you then divide 2x into 10x to get 5 because 5 * 2x = 10x

you then multiply (2x - 5) by 5 to get 10x - 25

you then subtract 10x - 25 from 10x - 15 to get + 10

since + 10 is of a lower order than 2x, you are done and your remainder is 10.

your quotient is 2x + 5 + 10/(2x - 5)


instructions on how to do polynomial division can be found at the following website.

<a href = "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm" target = "_blank">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm</a>


instructions on how to do synthetic division can be found at the following website.

<a href = "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm" target = "_blank">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut37_syndiv.htm</a>


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