Nat V.

asked • 08/16/16

The expression 4x^3+5x+10 / 2x+3 is equivalent to

(This is question 14 on the algebra 2 common core New York June 2016 regents)

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Mark M. answered • 08/16/16

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             2x2 - 3x    + 7
2x + 3 | 4x3 + 0x2 + 5x + 10
             4x3 + 6x2
                    - 6x2 + 5x
                    - 6x2 - 9x
                              14x + 10
                              14x + 21
                                     - 11
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Nat V.

Thank you Mark this helped a lot. I have to work in my long division for sure. I'm still confused as to where you got the +7 on top from? Also when the +5x has -9x subtracted from it do you not out -4 under it? Thank you for your time!
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08/16/16

Mark M.

You are welcome. Time spent with a learner is time well spent.
The 7 is the quotient of 14x / 2x.
The -9 is, as you say, subtracted, so 5x - (-9x) = 5x + 9x.
OK?
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08/16/16

Nat V.

Got it!
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08/17/16

Mark M.

Great!
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08/17/16

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