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(x + 7) is a factor in x^2 - mx - 56. What is the value of m

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Director
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(x + 7) is a factor in x^2 - mx - 56. What is the value of m [#permalink] New post 05 Dec 2012, 08:00
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Question Stats:

49% (01:34) correct 49% (00:46) wrong based on 3 sessions
(x + 7) is a factor in x^2 - mx - 56. What is the value of m?

A. 1
B. 8
C. 14
D. 15
E. 16
[Reveal] Spoiler: OA

Last edited by Bunuel on 05 Dec 2012, 08:03, edited 1 time in total.
Edited the question.
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Re: (x + 7) is a factor in x^2 - mx - 56. What is the value of m [#permalink] New post 05 Dec 2012, 11:01
Given the fact that (x+7) is the factor of the equation,
so it claerly means that one value of x=-7; the other we don't know and we don't have to.

The equation can be written in factor form as:
(x+7)*(x+a) where a is the other value of x.

On putting the value of x=-7 in the equation,
x^2-mx-56=0

we get:

49+7m-56=0

-7=-7m
m=1

+1 A.
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Director
Director
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 906
Location: India
Schools: Cox '16
GMAT Date: 05-29-2013
GPA: 3.2
WE: Engineering (Transportation)
Followers: 12

Kudos [?]: 83 [0], given: 55

CAT Tests
Re: (x + 7) is a factor in x^2 - mx - 56. What is the value of m [#permalink] New post 06 Dec 2012, 00:20
thanks marcab just wanted to be sure of my approach
Re: (x + 7) is a factor in x^2 - mx - 56. What is the value of m   [#permalink] 06 Dec 2012, 00:20
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