Oswaldo E.

asked • 03/09/22

how do i solve this 2x^2+3x-6/x+3

Donald W.

This is just an expression, there's nothing to solve. Is this part of an equation? There should be more to this problem.
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03/09/22

Oswaldo E.

it just say perform a long division.
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03/09/22

Oswaldo E.

what do i do?
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03/09/22

Mark M.

Do long divsion.
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03/09/22

Oswaldo E.

how? i got no idea what to do
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03/09/22

Donald W.

Ok, so the question is asking to perform polynomial long division on (2x^2 + 3x - 6) / (x + 3). I'll do my best below.
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03/09/22

1 Expert Answer

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Donald W. answered • 03/09/22

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Trying to illustrate polynomial long division as best as I can in this text box:


2x - 3

_____________

x + 3 / 2x2 + 3x - 6

2x2 + 6x

-----------

-3x - 6

-3x - 9

---------

3


So the quotient is 2x - 3 + 3/(x+3). It doesn't divide evenly as there is a remainder of 3.

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Oswaldo E.

where did u get that 6x
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03/09/22

Donald W.

2x * (x + 3) = 2x^2 + 6x
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03/09/22

Donald W.

Similarly, -3 * (x + 3) = -3x - 9
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03/09/22

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