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# If 2x^2 - 3x - m is divisible by (x - 3) what is m?

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Intern
Joined: 29 Sep 2011
Posts: 16
If 2x^2 - 3x - m is divisible by (x - 3) what is m?  [#permalink]

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19 Jan 2012, 12:13
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00:00

Difficulty:

45% (medium)

Question Stats:

73% (01:58) correct 27% (02:01) wrong based on 149 sessions

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If 2x^2 - 3x - m is divisible by (x - 3) what is m?

A. -18
B. -9
C. -6
D. 9
E. 18
##### Most Helpful Community Reply
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m?  [#permalink]

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25 Sep 2014, 23:11
3
3
Let $$2x^2 - 3x - m = 0$$

As its divisible by x - 3, then x - 3 = 0 as well; so x = 3

$$2 * 3^2 - 3 * 3 - m = 0$$

m = 18 - 9 = 9

Answer = D
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Math Expert
Joined: 02 Sep 2009
Posts: 49968
Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m?  [#permalink]

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19 Jan 2012, 12:45
1
3
Topic moved to PS subforum.

Splendidgirl666 wrote:
Hi guys, have a question here:

If 2x^2 -3x -m is divisible by (x-3) what is m?

1. -18
2. -9
3.-6
4. 9
5. 18

Thanks!
PS: I got right about the absolute value of the answer, but not its sign. So what wondering what is the rule to follow...

Since $$x-3$$ is a factor of $$2x^2-3x-m$$, then it can be factored as $$(x-3)(2x+k)$$ (notice we used 2x in the second factor as we need to get 2x^2)--> $$2x^2-3x-m=(x-3)(2x+k)=2x^2-(6-k)x-3k$$ --> $$6-k=3$$ --> $$k=3$$ --> $$m=3k=9$$.

Answer: D.

Factoring Quadratics: http://www.purplemath.com/modules/factquad.htm

Solving Quadratic Equations: http://www.purplemath.com/modules/solvquad.htm

Hope it helps.

P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.
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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m?  [#permalink]

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19 Jan 2012, 12:52
Yes, thanks! Will make sure to post questions in the right place next time!
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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m?  [#permalink]

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27 Sep 2017, 09:04
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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m? &nbs [#permalink] 27 Sep 2017, 09:04
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# If 2x^2 - 3x - m is divisible by (x - 3) what is m?

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