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

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If 2x^2 - 3x - m is divisible by (x - 3) what is m? [#permalink]  19 Jan 2012, 11:13
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58% (02:29) correct 42% (01:32) wrong based on 42 sessions
If 2x^2 - 3x - m is divisible by (x - 3) what is m?

A. -18
B. -9
C. -6
D. 9
E. 18
[Reveal] Spoiler: OA
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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m? [#permalink]  19 Jan 2012, 11:45
Expert's post
1
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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)--> $$2x^2-3x-m=(x-3)(2x+k)=2x^2-(6-k)x-3k$$ --> $$6-k=3$$ --> $$k=3$$ --> $$m=3k=9$$.

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]  19 Jan 2012, 11:52
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]  25 Sep 2014, 21:56
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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m? [#permalink]  25 Sep 2014, 22:11
1
KUDOS
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

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Re: If 2x^2 - 3x - m is divisible by (x - 3) what is m?   [#permalink] 25 Sep 2014, 22:11
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